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Finding the Third Proportional to 17,812 and 38,479

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Solution

The third proportional to 17,812 and 38,479 is: 83,125.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,812 : 38,479 = 38,479 : x
  2. Step 2: Convert to fraction form
    17,812/38,479 = 38,479/x
  3. Step 3: Cross multiply
    17,812x = 38,479 × 38,479
  4. Step 4: Simplify right side
    17,812x = 1,480,633,441
  5. Step 5: Solve for x
    x = 1,480,633,441/17,812
  6. Step 6: Final answer
    x = 83,125.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.