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Finding the Third Proportional to 138,909 and 207,447

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Solution

The third proportional to 138,909 and 207,447 is: 309,801.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,909 : 207,447 = 207,447 : x
  2. Step 2: Convert to fraction form
    138,909/207,447 = 207,447/x
  3. Step 3: Cross multiply
    138,909x = 207,447 × 207,447
  4. Step 4: Simplify right side
    138,909x = 43,034,257,809
  5. Step 5: Solve for x
    x = 43,034,257,809/138,909
  6. Step 6: Final answer
    x = 309,801.80

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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.