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Finding the Third Proportional to 70.17 and 105.91

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Solution

The third proportional to 70.17 and 105.91 is: 159.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.17 : 105.91 = 105.91 : x
  2. Step 2: Convert to fraction form
    70.17/105.91 = 105.91/x
  3. Step 3: Cross multiply
    70.17x = 105.91 × 105.91
  4. Step 4: Simplify right side
    70.17x = 11,217.79
  5. Step 5: Solve for x
    x = 11,217.79/70.17
  6. Step 6: Final answer
    x = 159.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.