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Finding the Third Proportional to 78.09 and 113.44

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Solution

The third proportional to 78.09 and 113.44 is: 164.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.09 : 113.44 = 113.44 : x
  2. Step 2: Convert to fraction form
    78.09/113.44 = 113.44/x
  3. Step 3: Cross multiply
    78.09x = 113.44 × 113.44
  4. Step 4: Simplify right side
    78.09x = 12,868.07
  5. Step 5: Solve for x
    x = 12,868.07/78.09
  6. Step 6: Final answer
    x = 164.78

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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.