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Finding the Third Proportional to 81.50 and 114.63

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Solution

The third proportional to 81.50 and 114.63 is: 161.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.50 : 114.63 = 114.63 : x
  2. Step 2: Convert to fraction form
    81.50/114.63 = 114.63/x
  3. Step 3: Cross multiply
    81.50x = 114.63 × 114.63
  4. Step 4: Simplify right side
    81.50x = 13,138.89
  5. Step 5: Solve for x
    x = 13,138.89/81.50
  6. Step 6: Final answer
    x = 161.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.