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Finding the Third Proportional to 138,638 and 207,033

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Solution

The third proportional to 138,638 and 207,033 is: 309,169.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,638 : 207,033 = 207,033 : x
  2. Step 2: Convert to fraction form
    138,638/207,033 = 207,033/x
  3. Step 3: Cross multiply
    138,638x = 207,033 × 207,033
  4. Step 4: Simplify right side
    138,638x = 42,862,663,089
  5. Step 5: Solve for x
    x = 42,862,663,089/138,638
  6. Step 6: Final answer
    x = 309,169.66

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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.