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Finding the Third Proportional to 129,149 and 193,720

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Solution

The third proportional to 129,149 and 193,720 is: 290,574.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,149 : 193,720 = 193,720 : x
  2. Step 2: Convert to fraction form
    129,149/193,720 = 193,720/x
  3. Step 3: Cross multiply
    129,149x = 193,720 × 193,720
  4. Step 4: Simplify right side
    129,149x = 37,527,438,400
  5. Step 5: Solve for x
    x = 37,527,438,400/129,149
  6. Step 6: Final answer
    x = 290,574.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.