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Finding the Third Proportional to 218,355 and 280,876.50

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Solution

The third proportional to 218,355 and 280,876.50 is: 361,299.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,355 : 280,876.50 = 280,876.50 : x
  2. Step 2: Convert to fraction form
    218,355/280,876.50 = 280,876.50/x
  3. Step 3: Cross multiply
    218,355x = 280,876.50 × 280,876.50
  4. Step 4: Simplify right side
    218,355x = 78,891,608,252.25
  5. Step 5: Solve for x
    x = 78,891,608,252.25/218,355
  6. Step 6: Final answer
    x = 361,299.76

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.