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Finding the Third Proportional to 386,488 and 534,042

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Solution

The third proportional to 386,488 and 534,042 is: 737,929.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,488 : 534,042 = 534,042 : x
  2. Step 2: Convert to fraction form
    386,488/534,042 = 534,042/x
  3. Step 3: Cross multiply
    386,488x = 534,042 × 534,042
  4. Step 4: Simplify right side
    386,488x = 285,200,857,764
  5. Step 5: Solve for x
    x = 285,200,857,764/386,488
  6. Step 6: Final answer
    x = 737,929.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.