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Finding the Third Proportional to 77.68 and 166.15

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Solution

The third proportional to 77.68 and 166.15 is: 355.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.68 : 166.15 = 166.15 : x
  2. Step 2: Convert to fraction form
    77.68/166.15 = 166.15/x
  3. Step 3: Cross multiply
    77.68x = 166.15 × 166.15
  4. Step 4: Simplify right side
    77.68x = 27,606.76
  5. Step 5: Solve for x
    x = 27,606.76/77.68
  6. Step 6: Final answer
    x = 355.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.