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Finding the Third Proportional to 513,513 and 681,534

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Solution

The third proportional to 513,513 and 681,534 is: 904,531.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,513 : 681,534 = 681,534 : x
  2. Step 2: Convert to fraction form
    513,513/681,534 = 681,534/x
  3. Step 3: Cross multiply
    513,513x = 681,534 × 681,534
  4. Step 4: Simplify right side
    513,513x = 464,488,593,156
  5. Step 5: Solve for x
    x = 464,488,593,156/513,513
  6. Step 6: Final answer
    x = 904,531.32

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.