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Finding the Third Proportional to 71,390 and 100,281

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Solution

The third proportional to 71,390 and 100,281 is: 140,863.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,390 : 100,281 = 100,281 : x
  2. Step 2: Convert to fraction form
    71,390/100,281 = 100,281/x
  3. Step 3: Cross multiply
    71,390x = 100,281 × 100,281
  4. Step 4: Simplify right side
    71,390x = 10,056,278,961
  5. Step 5: Solve for x
    x = 10,056,278,961/71,390
  6. Step 6: Final answer
    x = 140,863.97

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.