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Finding the Third Proportional to 74.53 and 171.42

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Solution

The third proportional to 74.53 and 171.42 is: 394.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.53 : 171.42 = 171.42 : x
  2. Step 2: Convert to fraction form
    74.53/171.42 = 171.42/x
  3. Step 3: Cross multiply
    74.53x = 171.42 × 171.42
  4. Step 4: Simplify right side
    74.53x = 29,385.46
  5. Step 5: Solve for x
    x = 29,385.46/74.53
  6. Step 6: Final answer
    x = 394.27

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.