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Finding the Third Proportional to 63,890 and 140,336

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Solution

The third proportional to 63,890 and 140,336 is: 308,251.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,890 : 140,336 = 140,336 : x
  2. Step 2: Convert to fraction form
    63,890/140,336 = 140,336/x
  3. Step 3: Cross multiply
    63,890x = 140,336 × 140,336
  4. Step 4: Simplify right side
    63,890x = 19,694,192,896
  5. Step 5: Solve for x
    x = 19,694,192,896/63,890
  6. Step 6: Final answer
    x = 308,251.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.