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Finding the Third Proportional to 85.78 and 126.70

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Solution

The third proportional to 85.78 and 126.70 is: 187.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.78 : 126.70 = 126.70 : x
  2. Step 2: Convert to fraction form
    85.78/126.70 = 126.70/x
  3. Step 3: Cross multiply
    85.78x = 126.70 × 126.70
  4. Step 4: Simplify right side
    85.78x = 16,053.68
  5. Step 5: Solve for x
    x = 16,053.68/85.78
  6. Step 6: Final answer
    x = 187.15

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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.