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Finding the Third Proportional to 3,542 and 9,017

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Solution

The third proportional to 3,542 and 9,017 is: 22,954.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542 : 9,017 = 9,017 : x
  2. Step 2: Convert to fraction form
    3,542/9,017 = 9,017/x
  3. Step 3: Cross multiply
    3,542x = 9,017 × 9,017
  4. Step 4: Simplify right side
    3,542x = 81,306,289
  5. Step 5: Solve for x
    x = 81,306,289/3,542
  6. Step 6: Final answer
    x = 22,954.91

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Why These Related Problems?

These problems maintain the same ratio (2.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.