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Finding the Third Proportional to 516,327 and 743,655

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Solution

The third proportional to 516,327 and 743,655 is: 1,071,070.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,327 : 743,655 = 743,655 : x
  2. Step 2: Convert to fraction form
    516,327/743,655 = 743,655/x
  3. Step 3: Cross multiply
    516,327x = 743,655 × 743,655
  4. Step 4: Simplify right side
    516,327x = 553,022,759,025
  5. Step 5: Solve for x
    x = 553,022,759,025/516,327
  6. Step 6: Final answer
    x = 1,071,070.77

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.