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Finding the Third Proportional to 342,877,940 and 517,505,566

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Solution

The third proportional to 342,877,940 and 517,505,566 is: 781,070,986.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,877,940 : 517,505,566 = 517,505,566 : x
  2. Step 2: Convert to fraction form
    342,877,940/517,505,566 = 517,505,566/x
  3. Step 3: Cross multiply
    342,877,940x = 517,505,566 × 517,505,566
  4. Step 4: Simplify right side
    342,877,940x = 267,812,010,840,980,352
  5. Step 5: Solve for x
    x = 267,812,010,840,980,352/342,877,940
  6. Step 6: Final answer
    x = 781,070,986.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.