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Finding the Third Proportional to 273,140,146.50 and 600,761,300.25

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Solution

The third proportional to 273,140,146.50 and 600,761,300.25 is: 1,321,351,491.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,140,146.50 : 600,761,300.25 = 600,761,300.25 : x
  2. Step 2: Convert to fraction form
    273,140,146.50/600,761,300.25 = 600,761,300.25/x
  3. Step 3: Cross multiply
    273,140,146.50x = 600,761,300.25 × 600,761,300.25
  4. Step 4: Simplify right side
    273,140,146.50x = 360,914,139,878,070,656
  5. Step 5: Solve for x
    x = 360,914,139,878,070,656/273,140,146.50
  6. Step 6: Final answer
    x = 1,321,351,491.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.