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Finding the Third Proportional to 6.61 and 12.38

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Solution

The third proportional to 6.61 and 12.38 is: 23.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.61 : 12.38 = 12.38 : x
  2. Step 2: Convert to fraction form
    6.61/12.38 = 12.38/x
  3. Step 3: Cross multiply
    6.61x = 12.38 × 12.38
  4. Step 4: Simplify right side
    6.61x = 153.14
  5. Step 5: Solve for x
    x = 153.14/6.61
  6. Step 6: Final answer
    x = 23.17

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.