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Finding the Third Proportional to 388,350 and 521,532

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Solution

The third proportional to 388,350 and 521,532 is: 700,387.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,350 : 521,532 = 521,532 : x
  2. Step 2: Convert to fraction form
    388,350/521,532 = 521,532/x
  3. Step 3: Cross multiply
    388,350x = 521,532 × 521,532
  4. Step 4: Simplify right side
    388,350x = 271,995,627,024
  5. Step 5: Solve for x
    x = 271,995,627,024/388,350
  6. Step 6: Final answer
    x = 700,387.86

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.