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Finding the Third Proportional to 129,255.50 and 273,414.25

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Solution

The third proportional to 129,255.50 and 273,414.25 is: 578,353.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,255.50 : 273,414.25 = 273,414.25 : x
  2. Step 2: Convert to fraction form
    129,255.50/273,414.25 = 273,414.25/x
  3. Step 3: Cross multiply
    129,255.50x = 273,414.25 × 273,414.25
  4. Step 4: Simplify right side
    129,255.50x = 74,755,352,103.06
  5. Step 5: Solve for x
    x = 74,755,352,103.06/129,255.50
  6. Step 6: Final answer
    x = 578,353.36

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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.