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Finding the Third Proportional to 129,136.78 and 273,904.03

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Solution

The third proportional to 129,136.78 and 273,904.03 is: 580,960.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,136.78 : 273,904.03 = 273,904.03 : x
  2. Step 2: Convert to fraction form
    129,136.78/273,904.03 = 273,904.03/x
  3. Step 3: Cross multiply
    129,136.78x = 273,904.03 × 273,904.03
  4. Step 4: Simplify right side
    129,136.78x = 75,023,418,335.00
  5. Step 5: Solve for x
    x = 75,023,418,335.00/129,136.78
  6. Step 6: Final answer
    x = 580,960.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.