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Finding the Third Proportional to 138,169.13 and 206,398.13

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Solution

The third proportional to 138,169.13 and 206,398.13 is: 308,319.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,169.13 : 206,398.13 = 206,398.13 : x
  2. Step 2: Convert to fraction form
    138,169.13/206,398.13 = 206,398.13/x
  3. Step 3: Cross multiply
    138,169.13x = 206,398.13 × 206,398.13
  4. Step 4: Simplify right side
    138,169.13x = 42,600,186,003.52
  5. Step 5: Solve for x
    x = 42,600,186,003.52/138,169.13
  6. Step 6: Final answer
    x = 308,319.14

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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.