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Finding the Third Proportional to 101.57 and 157.41

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Solution

The third proportional to 101.57 and 157.41 is: 243.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.57 : 157.41 = 157.41 : x
  2. Step 2: Convert to fraction form
    101.57/157.41 = 157.41/x
  3. Step 3: Cross multiply
    101.57x = 157.41 × 157.41
  4. Step 4: Simplify right side
    101.57x = 24,778.57
  5. Step 5: Solve for x
    x = 24,778.57/101.57
  6. Step 6: Final answer
    x = 243.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.