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Finding the Third Proportional to 98.44 and 125.72

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Solution

The third proportional to 98.44 and 125.72 is: 160.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.44 : 125.72 = 125.72 : x
  2. Step 2: Convert to fraction form
    98.44/125.72 = 125.72/x
  3. Step 3: Cross multiply
    98.44x = 125.72 × 125.72
  4. Step 4: Simplify right side
    98.44x = 15,805.20
  5. Step 5: Solve for x
    x = 15,805.20/98.44
  6. Step 6: Final answer
    x = 160.56

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.