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Finding the Third Proportional to 27.61 and 63.44

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Solution

The third proportional to 27.61 and 63.44 is: 145.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.61 : 63.44 = 63.44 : x
  2. Step 2: Convert to fraction form
    27.61/63.44 = 63.44/x
  3. Step 3: Cross multiply
    27.61x = 63.44 × 63.44
  4. Step 4: Simplify right side
    27.61x = 4,024.56
  5. Step 5: Solve for x
    x = 4,024.56/27.61
  6. Step 6: Final answer
    x = 145.78

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.