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Finding the Third Proportional to 129,872.53 and 207,469.69

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Solution

The third proportional to 129,872.53 and 207,469.69 is: 331,430.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,872.53 : 207,469.69 = 207,469.69 : x
  2. Step 2: Convert to fraction form
    129,872.53/207,469.69 = 207,469.69/x
  3. Step 3: Cross multiply
    129,872.53x = 207,469.69 × 207,469.69
  4. Step 4: Simplify right side
    129,872.53x = 43,043,671,231.35
  5. Step 5: Solve for x
    x = 43,043,671,231.35/129,872.53
  6. Step 6: Final answer
    x = 331,430.14

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.