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Finding the Third Proportional to 36 and 72.84

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Solution

The third proportional to 36 and 72.84 is: 147.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36 : 72.84 = 72.84 : x
  2. Step 2: Convert to fraction form
    36/72.84 = 72.84/x
  3. Step 3: Cross multiply
    36x = 72.84 × 72.84
  4. Step 4: Simplify right side
    36x = 5,306.21
  5. Step 5: Solve for x
    x = 5,306.21/36
  6. Step 6: Final answer
    x = 147.39

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.