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Finding the Third Proportional to 17,781 and 38,712

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Solution

The third proportional to 17,781 and 38,712 is: 84,282.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,781 : 38,712 = 38,712 : x
  2. Step 2: Convert to fraction form
    17,781/38,712 = 38,712/x
  3. Step 3: Cross multiply
    17,781x = 38,712 × 38,712
  4. Step 4: Simplify right side
    17,781x = 1,498,618,944
  5. Step 5: Solve for x
    x = 1,498,618,944/17,781
  6. Step 6: Final answer
    x = 84,282.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.