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Finding the Third Proportional to 36.70 and 78.15

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Solution

The third proportional to 36.70 and 78.15 is: 166.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.70 : 78.15 = 78.15 : x
  2. Step 2: Convert to fraction form
    36.70/78.15 = 78.15/x
  3. Step 3: Cross multiply
    36.70x = 78.15 × 78.15
  4. Step 4: Simplify right side
    36.70x = 6,107.79
  5. Step 5: Solve for x
    x = 6,107.79/36.70
  6. Step 6: Final answer
    x = 166.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.