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Finding the Third Proportional to 78.68 and 135.84

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Solution

The third proportional to 78.68 and 135.84 is: 234.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.68 : 135.84 = 135.84 : x
  2. Step 2: Convert to fraction form
    78.68/135.84 = 135.84/x
  3. Step 3: Cross multiply
    78.68x = 135.84 × 135.84
  4. Step 4: Simplify right side
    78.68x = 18,453.52
  5. Step 5: Solve for x
    x = 18,453.52/78.68
  6. Step 6: Final answer
    x = 234.54

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.