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Finding the Third Proportional to 484,347,310,733 and 1,037,780,151,263.50

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Solution

The third proportional to 484,347,310,733 and 1,037,780,151,263.50 is: 2,223,585,469,539.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,347,310,733 : 1,037,780,151,263.50 = 1,037,780,151,263.50 : x
  2. Step 2: Convert to fraction form
    484,347,310,733/1,037,780,151,263.50 = 1,037,780,151,263.50/x
  3. Step 3: Cross multiply
    484,347,310,733x = 1,037,780,151,263.50 × 1,037,780,151,263.50
  4. Step 4: Simplify right side
    484,347,310,733x = 1,076,987,642,356,492,874,547,200
  5. Step 5: Solve for x
    x = 1,076,987,642,356,492,874,547,200/484,347,310,733
  6. Step 6: Final answer
    x = 2,223,585,469,539.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.