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Finding the Third Proportional to 27.74 and 61.00

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Solution

The third proportional to 27.74 and 61.00 is: 134.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.74 : 61.00 = 61.00 : x
  2. Step 2: Convert to fraction form
    27.74/61.00 = 61.00/x
  3. Step 3: Cross multiply
    27.74x = 61.00 × 61.00
  4. Step 4: Simplify right side
    27.74x = 3,720.52
  5. Step 5: Solve for x
    x = 3,720.52/27.74
  6. Step 6: Final answer
    x = 134.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.