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Finding the Third Proportional to 138,387.87 and 206,861.34

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Solution

The third proportional to 138,387.87 and 206,861.34 is: 309,215.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,387.87 : 206,861.34 = 206,861.34 : x
  2. Step 2: Convert to fraction form
    138,387.87/206,861.34 = 206,861.34/x
  3. Step 3: Cross multiply
    138,387.87x = 206,861.34 × 206,861.34
  4. Step 4: Simplify right side
    138,387.87x = 42,791,615,538.06
  5. Step 5: Solve for x
    x = 42,791,615,538.06/138,387.87
  6. Step 6: Final answer
    x = 309,215.08

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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.