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Finding the Third Proportional to 81.98 and 114.96

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Solution

The third proportional to 81.98 and 114.96 is: 161.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.98 : 114.96 = 114.96 : x
  2. Step 2: Convert to fraction form
    81.98/114.96 = 114.96/x
  3. Step 3: Cross multiply
    81.98x = 114.96 × 114.96
  4. Step 4: Simplify right side
    81.98x = 13,216.02
  5. Step 5: Solve for x
    x = 13,216.02/81.98
  6. Step 6: Final answer
    x = 161.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.