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Finding the Third Proportional to 101.32 and 157.43

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Solution

The third proportional to 101.32 and 157.43 is: 244.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.32 : 157.43 = 157.43 : x
  2. Step 2: Convert to fraction form
    101.32/157.43 = 157.43/x
  3. Step 3: Cross multiply
    101.32x = 157.43 × 157.43
  4. Step 4: Simplify right side
    101.32x = 24,784.11
  5. Step 5: Solve for x
    x = 24,784.11/101.32
  6. Step 6: Final answer
    x = 244.61

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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.