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Finding the Third Proportional to 72.84 and 166.36

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Solution

The third proportional to 72.84 and 166.36 is: 379.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.84 : 166.36 = 166.36 : x
  2. Step 2: Convert to fraction form
    72.84/166.36 = 166.36/x
  3. Step 3: Cross multiply
    72.84x = 166.36 × 166.36
  4. Step 4: Simplify right side
    72.84x = 27,675.44
  5. Step 5: Solve for x
    x = 27,675.44/72.84
  6. Step 6: Final answer
    x = 379.93

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.