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Finding the Third Proportional to 71.25 and 147.84

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Solution

The third proportional to 71.25 and 147.84 is: 306.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.25 : 147.84 = 147.84 : x
  2. Step 2: Convert to fraction form
    71.25/147.84 = 147.84/x
  3. Step 3: Cross multiply
    71.25x = 147.84 × 147.84
  4. Step 4: Simplify right side
    71.25x = 21,857.77
  5. Step 5: Solve for x
    x = 21,857.77/71.25
  6. Step 6: Final answer
    x = 306.78

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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.