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Finding the Third Proportional to 77.34 and 119.95

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Solution

The third proportional to 77.34 and 119.95 is: 186.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.34 : 119.95 = 119.95 : x
  2. Step 2: Convert to fraction form
    77.34/119.95 = 119.95/x
  3. Step 3: Cross multiply
    77.34x = 119.95 × 119.95
  4. Step 4: Simplify right side
    77.34x = 14,388.75
  5. Step 5: Solve for x
    x = 14,388.75/77.34
  6. Step 6: Final answer
    x = 186.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.