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Finding the Third Proportional to 101.67 and 157.55

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Solution

The third proportional to 101.67 and 157.55 is: 244.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.67 : 157.55 = 157.55 : x
  2. Step 2: Convert to fraction form
    101.67/157.55 = 157.55/x
  3. Step 3: Cross multiply
    101.67x = 157.55 × 157.55
  4. Step 4: Simplify right side
    101.67x = 24,821.02
  5. Step 5: Solve for x
    x = 24,821.02/101.67
  6. Step 6: Final answer
    x = 244.13

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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.