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Finding the Third Proportional to 67.78 and 98.54

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Solution

The third proportional to 67.78 and 98.54 is: 143.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.78 : 98.54 = 98.54 : x
  2. Step 2: Convert to fraction form
    67.78/98.54 = 98.54/x
  3. Step 3: Cross multiply
    67.78x = 98.54 × 98.54
  4. Step 4: Simplify right side
    67.78x = 9,710.72
  5. Step 5: Solve for x
    x = 9,710.72/67.78
  6. Step 6: Final answer
    x = 143.27

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.