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Finding the Third Proportional to 133.42 and 157.46

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Solution

The third proportional to 133.42 and 157.46 is: 185.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.42 : 157.46 = 157.46 : x
  2. Step 2: Convert to fraction form
    133.42/157.46 = 157.46/x
  3. Step 3: Cross multiply
    133.42x = 157.46 × 157.46
  4. Step 4: Simplify right side
    133.42x = 24,795.18
  5. Step 5: Solve for x
    x = 24,795.18/133.42
  6. Step 6: Final answer
    x = 185.85

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.