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Finding the Third Proportional to 129,940 and 284,180

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Solution

The third proportional to 129,940 and 284,180 is: 621,504.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,940 : 284,180 = 284,180 : x
  2. Step 2: Convert to fraction form
    129,940/284,180 = 284,180/x
  3. Step 3: Cross multiply
    129,940x = 284,180 × 284,180
  4. Step 4: Simplify right side
    129,940x = 80,758,272,400
  5. Step 5: Solve for x
    x = 80,758,272,400/129,940
  6. Step 6: Final answer
    x = 621,504.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.