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Finding the Third Proportional to 71,681 and 100,257

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Solution

The third proportional to 71,681 and 100,257 is: 140,224.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,681 : 100,257 = 100,257 : x
  2. Step 2: Convert to fraction form
    71,681/100,257 = 100,257/x
  3. Step 3: Cross multiply
    71,681x = 100,257 × 100,257
  4. Step 4: Simplify right side
    71,681x = 10,051,466,049
  5. Step 5: Solve for x
    x = 10,051,466,049/71,681
  6. Step 6: Final answer
    x = 140,224.97

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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.