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Finding the Third Proportional to 98.31 and 154.19

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Solution

The third proportional to 98.31 and 154.19 is: 241.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.31 : 154.19 = 154.19 : x
  2. Step 2: Convert to fraction form
    98.31/154.19 = 154.19/x
  3. Step 3: Cross multiply
    98.31x = 154.19 × 154.19
  4. Step 4: Simplify right side
    98.31x = 23,773.79
  5. Step 5: Solve for x
    x = 23,773.79/98.31
  6. Step 6: Final answer
    x = 241.82

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.