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Finding the Third Proportional to 138,154 and 207,744

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Solution

The third proportional to 138,154 and 207,744 is: 312,387.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,154 : 207,744 = 207,744 : x
  2. Step 2: Convert to fraction form
    138,154/207,744 = 207,744/x
  3. Step 3: Cross multiply
    138,154x = 207,744 × 207,744
  4. Step 4: Simplify right side
    138,154x = 43,157,569,536
  5. Step 5: Solve for x
    x = 43,157,569,536/138,154
  6. Step 6: Final answer
    x = 312,387.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.