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Finding the Third Proportional to 77.95 and 170.33

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Solution

The third proportional to 77.95 and 170.33 is: 372.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.95 : 170.33 = 170.33 : x
  2. Step 2: Convert to fraction form
    77.95/170.33 = 170.33/x
  3. Step 3: Cross multiply
    77.95x = 170.33 × 170.33
  4. Step 4: Simplify right side
    77.95x = 29,010.76
  5. Step 5: Solve for x
    x = 29,010.76/77.95
  6. Step 6: Final answer
    x = 372.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.