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Finding the Third Proportional to 75.95 and 166.61

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Solution

The third proportional to 75.95 and 166.61 is: 365.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.95 : 166.61 = 166.61 : x
  2. Step 2: Convert to fraction form
    75.95/166.61 = 166.61/x
  3. Step 3: Cross multiply
    75.95x = 166.61 × 166.61
  4. Step 4: Simplify right side
    75.95x = 27,760.31
  5. Step 5: Solve for x
    x = 27,760.31/75.95
  6. Step 6: Final answer
    x = 365.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.