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Finding the Third Proportional to 119,982 and 179,789

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Solution

The third proportional to 119,982 and 179,789 is: 269,407.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,982 : 179,789 = 179,789 : x
  2. Step 2: Convert to fraction form
    119,982/179,789 = 179,789/x
  3. Step 3: Cross multiply
    119,982x = 179,789 × 179,789
  4. Step 4: Simplify right side
    119,982x = 32,324,084,521
  5. Step 5: Solve for x
    x = 32,324,084,521/119,982
  6. Step 6: Final answer
    x = 269,407.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.