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Finding the Third Proportional to 138,870 and 207,397

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Solution

The third proportional to 138,870 and 207,397 is: 309,739.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,870 : 207,397 = 207,397 : x
  2. Step 2: Convert to fraction form
    138,870/207,397 = 207,397/x
  3. Step 3: Cross multiply
    138,870x = 207,397 × 207,397
  4. Step 4: Simplify right side
    138,870x = 43,013,515,609
  5. Step 5: Solve for x
    x = 43,013,515,609/138,870
  6. Step 6: Final answer
    x = 309,739.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.