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Finding the Third Proportional to 17,680 and 38,127

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Solution

The third proportional to 17,680 and 38,127 is: 82,221.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,680 : 38,127 = 38,127 : x
  2. Step 2: Convert to fraction form
    17,680/38,127 = 38,127/x
  3. Step 3: Cross multiply
    17,680x = 38,127 × 38,127
  4. Step 4: Simplify right side
    17,680x = 1,453,668,129
  5. Step 5: Solve for x
    x = 1,453,668,129/17,680
  6. Step 6: Final answer
    x = 82,221.05

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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.