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Finding the Third Proportional to 70.17 and 163.55

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Solution

The third proportional to 70.17 and 163.55 is: 381.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.17 : 163.55 = 163.55 : x
  2. Step 2: Convert to fraction form
    70.17/163.55 = 163.55/x
  3. Step 3: Cross multiply
    70.17x = 163.55 × 163.55
  4. Step 4: Simplify right side
    70.17x = 26,747.58
  5. Step 5: Solve for x
    x = 26,747.58/70.17
  6. Step 6: Final answer
    x = 381.17

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.