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Finding the Third Proportional to 284,387 and 429,605

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Solution

The third proportional to 284,387 and 429,605 is: 648,976.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,387 : 429,605 = 429,605 : x
  2. Step 2: Convert to fraction form
    284,387/429,605 = 429,605/x
  3. Step 3: Cross multiply
    284,387x = 429,605 × 429,605
  4. Step 4: Simplify right side
    284,387x = 184,560,456,025
  5. Step 5: Solve for x
    x = 184,560,456,025/284,387
  6. Step 6: Final answer
    x = 648,976.42

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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.