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Finding the Third Proportional to 75.57 and 163.95

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Solution

The third proportional to 75.57 and 163.95 is: 355.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.57 : 163.95 = 163.95 : x
  2. Step 2: Convert to fraction form
    75.57/163.95 = 163.95/x
  3. Step 3: Cross multiply
    75.57x = 163.95 × 163.95
  4. Step 4: Simplify right side
    75.57x = 26,879.99
  5. Step 5: Solve for x
    x = 26,879.99/75.57
  6. Step 6: Final answer
    x = 355.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.