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Finding the Third Proportional to 129,049.13 and 189,765.38

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Solution

The third proportional to 129,049.13 and 189,765.38 is: 279,047.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,049.13 : 189,765.38 = 189,765.38 : x
  2. Step 2: Convert to fraction form
    129,049.13/189,765.38 = 189,765.38/x
  3. Step 3: Cross multiply
    129,049.13x = 189,765.38 × 189,765.38
  4. Step 4: Simplify right side
    129,049.13x = 36,010,897,548.89
  5. Step 5: Solve for x
    x = 36,010,897,548.89/129,049.13
  6. Step 6: Final answer
    x = 279,047.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.