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Finding the Third Proportional to 85.78 and 113.13

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Solution

The third proportional to 85.78 and 113.13 is: 149.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.78 : 113.13 = 113.13 : x
  2. Step 2: Convert to fraction form
    85.78/113.13 = 113.13/x
  3. Step 3: Cross multiply
    85.78x = 113.13 × 113.13
  4. Step 4: Simplify right side
    85.78x = 12,799.03
  5. Step 5: Solve for x
    x = 12,799.03/85.78
  6. Step 6: Final answer
    x = 149.21

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.