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Finding the Third Proportional to 119,928 and 178,920

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Solution

The third proportional to 119,928 and 178,920 is: 266,929.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,928 : 178,920 = 178,920 : x
  2. Step 2: Convert to fraction form
    119,928/178,920 = 178,920/x
  3. Step 3: Cross multiply
    119,928x = 178,920 × 178,920
  4. Step 4: Simplify right side
    119,928x = 32,012,366,400
  5. Step 5: Solve for x
    x = 32,012,366,400/119,928
  6. Step 6: Final answer
    x = 266,929.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.