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Finding the Third Proportional to 113.48 and 170.86

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Solution

The third proportional to 113.48 and 170.86 is: 257.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.48 : 170.86 = 170.86 : x
  2. Step 2: Convert to fraction form
    113.48/170.86 = 170.86/x
  3. Step 3: Cross multiply
    113.48x = 170.86 × 170.86
  4. Step 4: Simplify right side
    113.48x = 29,192.93
  5. Step 5: Solve for x
    x = 29,192.93/113.48
  6. Step 6: Final answer
    x = 257.24

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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.