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Finding the Third Proportional to 17.62 and 37.17

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Solution

The third proportional to 17.62 and 37.17 is: 78.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.62 : 37.17 = 37.17 : x
  2. Step 2: Convert to fraction form
    17.62/37.17 = 37.17/x
  3. Step 3: Cross multiply
    17.62x = 37.17 × 37.17
  4. Step 4: Simplify right side
    17.62x = 1,381.94
  5. Step 5: Solve for x
    x = 1,381.94/17.62
  6. Step 6: Final answer
    x = 78.42

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.