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Finding the Third Proportional to 125.94 and 180.88

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Solution

The third proportional to 125.94 and 180.88 is: 259.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.94 : 180.88 = 180.88 : x
  2. Step 2: Convert to fraction form
    125.94/180.88 = 180.88/x
  3. Step 3: Cross multiply
    125.94x = 180.88 × 180.88
  4. Step 4: Simplify right side
    125.94x = 32,715.77
  5. Step 5: Solve for x
    x = 32,715.77/125.94
  6. Step 6: Final answer
    x = 259.78

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.