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Finding the Third Proportional to 17,680.78 and 26,521.17

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Solution

The third proportional to 17,680.78 and 26,521.17 is: 39,781.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,680.78 : 26,521.17 = 26,521.17 : x
  2. Step 2: Convert to fraction form
    17,680.78/26,521.17 = 26,521.17/x
  3. Step 3: Cross multiply
    17,680.78x = 26,521.17 × 26,521.17
  4. Step 4: Simplify right side
    17,680.78x = 703,372,557.62
  5. Step 5: Solve for x
    x = 703,372,557.62/17,680.78
  6. Step 6: Final answer
    x = 39,781.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.