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Finding the Third Proportional to 27.84 and 61.17

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Solution

The third proportional to 27.84 and 61.17 is: 134.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.84 : 61.17 = 61.17 : x
  2. Step 2: Convert to fraction form
    27.84/61.17 = 61.17/x
  3. Step 3: Cross multiply
    27.84x = 61.17 × 61.17
  4. Step 4: Simplify right side
    27.84x = 3,742.00
  5. Step 5: Solve for x
    x = 3,742.00/27.84
  6. Step 6: Final answer
    x = 134.39

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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.