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Finding the Third Proportional to 67.78 and 96.61

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Solution

The third proportional to 67.78 and 96.61 is: 137.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.78 : 96.61 = 96.61 : x
  2. Step 2: Convert to fraction form
    67.78/96.61 = 96.61/x
  3. Step 3: Cross multiply
    67.78x = 96.61 × 96.61
  4. Step 4: Simplify right side
    67.78x = 9,333.37
  5. Step 5: Solve for x
    x = 9,333.37/67.78
  6. Step 6: Final answer
    x = 137.70

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.