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Finding the Third Proportional to 81.25 and 120.63

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Solution

The third proportional to 81.25 and 120.63 is: 179.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.25 : 120.63 = 120.63 : x
  2. Step 2: Convert to fraction form
    81.25/120.63 = 120.63/x
  3. Step 3: Cross multiply
    81.25x = 120.63 × 120.63
  4. Step 4: Simplify right side
    81.25x = 14,550.39
  5. Step 5: Solve for x
    x = 14,550.39/81.25
  6. Step 6: Final answer
    x = 179.08

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.