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Finding the Third Proportional to 138,425 and 216,863

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Solution

The third proportional to 138,425 and 216,863 is: 339,747.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,425 : 216,863 = 216,863 : x
  2. Step 2: Convert to fraction form
    138,425/216,863 = 216,863/x
  3. Step 3: Cross multiply
    138,425x = 216,863 × 216,863
  4. Step 4: Simplify right side
    138,425x = 47,029,560,769
  5. Step 5: Solve for x
    x = 47,029,560,769/138,425
  6. Step 6: Final answer
    x = 339,747.59

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.