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Finding the Third Proportional to 360,284,206.50 and 730,593,742.50

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Solution

The third proportional to 360,284,206.50 and 730,593,742.50 is: 1,481,517,110.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,284,206.50 : 730,593,742.50 = 730,593,742.50 : x
  2. Step 2: Convert to fraction form
    360,284,206.50/730,593,742.50 = 730,593,742.50/x
  3. Step 3: Cross multiply
    360,284,206.50x = 730,593,742.50 × 730,593,742.50
  4. Step 4: Simplify right side
    360,284,206.50x = 533,767,216,580,156,288
  5. Step 5: Solve for x
    x = 533,767,216,580,156,288/360,284,206.50
  6. Step 6: Final answer
    x = 1,481,517,110.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.