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Finding the Third Proportional to 123,565.50 and 220,545.28

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Solution

The third proportional to 123,565.50 and 220,545.28 is: 393,639.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,565.50 : 220,545.28 = 220,545.28 : x
  2. Step 2: Convert to fraction form
    123,565.50/220,545.28 = 220,545.28/x
  3. Step 3: Cross multiply
    123,565.50x = 220,545.28 × 220,545.28
  4. Step 4: Simplify right side
    123,565.50x = 48,640,221,081.64
  5. Step 5: Solve for x
    x = 48,640,221,081.64/123,565.50
  6. Step 6: Final answer
    x = 393,639.17

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.