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Finding the Third Proportional to 129,120 and 189,741

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Solution

The third proportional to 129,120 and 189,741 is: 278,823.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,120 : 189,741 = 189,741 : x
  2. Step 2: Convert to fraction form
    129,120/189,741 = 189,741/x
  3. Step 3: Cross multiply
    129,120x = 189,741 × 189,741
  4. Step 4: Simplify right side
    129,120x = 36,001,647,081
  5. Step 5: Solve for x
    x = 36,001,647,081/129,120
  6. Step 6: Final answer
    x = 278,823.17

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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.