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Finding the Third Proportional to 125,760 and 178,800

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Solution

The third proportional to 125,760 and 178,800 is: 254,209.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,760 : 178,800 = 178,800 : x
  2. Step 2: Convert to fraction form
    125,760/178,800 = 178,800/x
  3. Step 3: Cross multiply
    125,760x = 178,800 × 178,800
  4. Step 4: Simplify right side
    125,760x = 31,969,440,000
  5. Step 5: Solve for x
    x = 31,969,440,000/125,760
  6. Step 6: Final answer
    x = 254,209.92

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.