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Finding the Third Proportional to 71.44 and 148.85

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Solution

The third proportional to 71.44 and 148.85 is: 310.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.44 : 148.85 = 148.85 : x
  2. Step 2: Convert to fraction form
    71.44/148.85 = 148.85/x
  3. Step 3: Cross multiply
    71.44x = 148.85 × 148.85
  4. Step 4: Simplify right side
    71.44x = 22,156.79
  5. Step 5: Solve for x
    x = 22,156.79/71.44
  6. Step 6: Final answer
    x = 310.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.