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Finding the Third Proportional to 122.87 and 180.04

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Solution

The third proportional to 122.87 and 180.04 is: 263.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.87 : 180.04 = 180.04 : x
  2. Step 2: Convert to fraction form
    122.87/180.04 = 180.04/x
  3. Step 3: Cross multiply
    122.87x = 180.04 × 180.04
  4. Step 4: Simplify right side
    122.87x = 32,412.66
  5. Step 5: Solve for x
    x = 32,412.66/122.87
  6. Step 6: Final answer
    x = 263.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.