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Finding the Third Proportional to 84,123.56 and 129,304.69

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Solution

The third proportional to 84,123.56 and 129,304.69 is: 198,751.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,123.56 : 129,304.69 = 129,304.69 : x
  2. Step 2: Convert to fraction form
    84,123.56/129,304.69 = 129,304.69/x
  3. Step 3: Cross multiply
    84,123.56x = 129,304.69 × 129,304.69
  4. Step 4: Simplify right side
    84,123.56x = 16,719,702,209.47
  5. Step 5: Solve for x
    x = 16,719,702,209.47/84,123.56
  6. Step 6: Final answer
    x = 198,751.71

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.