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Finding the Third Proportional to 17,438 and 26,680

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Solution

The third proportional to 17,438 and 26,680 is: 40,820.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,438 : 26,680 = 26,680 : x
  2. Step 2: Convert to fraction form
    17,438/26,680 = 26,680/x
  3. Step 3: Cross multiply
    17,438x = 26,680 × 26,680
  4. Step 4: Simplify right side
    17,438x = 711,822,400
  5. Step 5: Solve for x
    x = 711,822,400/17,438
  6. Step 6: Final answer
    x = 40,820.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.