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Finding the Third Proportional to 27.70 and 61.03

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Solution

The third proportional to 27.70 and 61.03 is: 134.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.70 : 61.03 = 61.03 : x
  2. Step 2: Convert to fraction form
    27.70/61.03 = 61.03/x
  3. Step 3: Cross multiply
    27.70x = 61.03 × 61.03
  4. Step 4: Simplify right side
    27.70x = 3,724.81
  5. Step 5: Solve for x
    x = 3,724.81/27.70
  6. Step 6: Final answer
    x = 134.45

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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.