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Finding the Third Proportional to 113.43 and 171.10

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Solution

The third proportional to 113.43 and 171.10 is: 258.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.43 : 171.10 = 171.10 : x
  2. Step 2: Convert to fraction form
    113.43/171.10 = 171.10/x
  3. Step 3: Cross multiply
    113.43x = 171.10 × 171.10
  4. Step 4: Simplify right side
    113.43x = 29,274.07
  5. Step 5: Solve for x
    x = 29,274.07/113.43
  6. Step 6: Final answer
    x = 258.08

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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.