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Finding the Third Proportional to 138,888.25 and 196,654.88

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Solution

The third proportional to 138,888.25 and 196,654.88 is: 278,447.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,888.25 : 196,654.88 = 196,654.88 : x
  2. Step 2: Convert to fraction form
    138,888.25/196,654.88 = 196,654.88/x
  3. Step 3: Cross multiply
    138,888.25x = 196,654.88 × 196,654.88
  4. Step 4: Simplify right side
    138,888.25x = 38,673,139,861.27
  5. Step 5: Solve for x
    x = 38,673,139,861.27/138,888.25
  6. Step 6: Final answer
    x = 278,447.89

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.