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Finding the Third Proportional to 36.30 and 78.29

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Solution

The third proportional to 36.30 and 78.29 is: 168.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.30 : 78.29 = 78.29 : x
  2. Step 2: Convert to fraction form
    36.30/78.29 = 78.29/x
  3. Step 3: Cross multiply
    36.30x = 78.29 × 78.29
  4. Step 4: Simplify right side
    36.30x = 6,129.79
  5. Step 5: Solve for x
    x = 6,129.79/36.30
  6. Step 6: Final answer
    x = 168.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.