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Finding the Third Proportional to 386,374 and 568,387

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Solution

The third proportional to 386,374 and 568,387 is: 836,142.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,374 : 568,387 = 568,387 : x
  2. Step 2: Convert to fraction form
    386,374/568,387 = 568,387/x
  3. Step 3: Cross multiply
    386,374x = 568,387 × 568,387
  4. Step 4: Simplify right side
    386,374x = 323,063,781,769
  5. Step 5: Solve for x
    x = 323,063,781,769/386,374
  6. Step 6: Final answer
    x = 836,142.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.