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Finding the Third Proportional to 113.06 and 172.41

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Solution

The third proportional to 113.06 and 172.41 is: 262.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.06 : 172.41 = 172.41 : x
  2. Step 2: Convert to fraction form
    113.06/172.41 = 172.41/x
  3. Step 3: Cross multiply
    113.06x = 172.41 × 172.41
  4. Step 4: Simplify right side
    113.06x = 29,723.92
  5. Step 5: Solve for x
    x = 29,723.92/113.06
  6. Step 6: Final answer
    x = 262.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.