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Finding the Third Proportional to 129,640.50 and 311,951.25

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Solution

The third proportional to 129,640.50 and 311,951.25 is: 750,641.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,640.50 : 311,951.25 = 311,951.25 : x
  2. Step 2: Convert to fraction form
    129,640.50/311,951.25 = 311,951.25/x
  3. Step 3: Cross multiply
    129,640.50x = 311,951.25 × 311,951.25
  4. Step 4: Simplify right side
    129,640.50x = 97,313,582,376.56
  5. Step 5: Solve for x
    x = 97,313,582,376.56/129,640.50
  6. Step 6: Final answer
    x = 750,641.83

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.