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Finding the Third Proportional to 74.48 and 158.58

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Solution

The third proportional to 74.48 and 158.58 is: 337.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.48 : 158.58 = 158.58 : x
  2. Step 2: Convert to fraction form
    74.48/158.58 = 158.58/x
  3. Step 3: Cross multiply
    74.48x = 158.58 × 158.58
  4. Step 4: Simplify right side
    74.48x = 25,147.25
  5. Step 5: Solve for x
    x = 25,147.25/74.48
  6. Step 6: Final answer
    x = 337.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.