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Finding the Third Proportional to 38,972 and 82,581

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Solution

The third proportional to 38,972 and 82,581 is: 174,987.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,972 : 82,581 = 82,581 : x
  2. Step 2: Convert to fraction form
    38,972/82,581 = 82,581/x
  3. Step 3: Cross multiply
    38,972x = 82,581 × 82,581
  4. Step 4: Simplify right side
    38,972x = 6,819,621,561
  5. Step 5: Solve for x
    x = 6,819,621,561/38,972
  6. Step 6: Final answer
    x = 174,987.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.