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Finding the Third Proportional to 101.55 and 155.21

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Solution

The third proportional to 101.55 and 155.21 is: 237.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.55 : 155.21 = 155.21 : x
  2. Step 2: Convert to fraction form
    101.55/155.21 = 155.21/x
  3. Step 3: Cross multiply
    101.55x = 155.21 × 155.21
  4. Step 4: Simplify right side
    101.55x = 24,091.65
  5. Step 5: Solve for x
    x = 24,091.65/101.55
  6. Step 6: Final answer
    x = 237.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.