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Finding the Third Proportional to 27.84 and 60.42

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Solution

The third proportional to 27.84 and 60.42 is: 131.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.84 : 60.42 = 60.42 : x
  2. Step 2: Convert to fraction form
    27.84/60.42 = 60.42/x
  3. Step 3: Cross multiply
    27.84x = 60.42 × 60.42
  4. Step 4: Simplify right side
    27.84x = 3,650.80
  5. Step 5: Solve for x
    x = 3,650.80/27.84
  6. Step 6: Final answer
    x = 131.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.