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Finding the Third Proportional to 36.49 and 77.70

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Solution

The third proportional to 36.49 and 77.70 is: 165.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.49 : 77.70 = 77.70 : x
  2. Step 2: Convert to fraction form
    36.49/77.70 = 77.70/x
  3. Step 3: Cross multiply
    36.49x = 77.70 × 77.70
  4. Step 4: Simplify right side
    36.49x = 6,036.56
  5. Step 5: Solve for x
    x = 6,036.56/36.49
  6. Step 6: Final answer
    x = 165.42

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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.