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Finding the Third Proportional to 188,659.13 and 280,422

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Solution

The third proportional to 188,659.13 and 280,422 is: 416,817.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,659.13 : 280,422 = 280,422 : x
  2. Step 2: Convert to fraction form
    188,659.13/280,422 = 280,422/x
  3. Step 3: Cross multiply
    188,659.13x = 280,422 × 280,422
  4. Step 4: Simplify right side
    188,659.13x = 78,636,498,084
  5. Step 5: Solve for x
    x = 78,636,498,084/188,659.13
  6. Step 6: Final answer
    x = 416,817.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.