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Finding the Third Proportional to 179,984 and 275,424

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Solution

The third proportional to 179,984 and 275,424 is: 421,472.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,984 : 275,424 = 275,424 : x
  2. Step 2: Convert to fraction form
    179,984/275,424 = 275,424/x
  3. Step 3: Cross multiply
    179,984x = 275,424 × 275,424
  4. Step 4: Simplify right side
    179,984x = 75,858,379,776
  5. Step 5: Solve for x
    x = 75,858,379,776/179,984
  6. Step 6: Final answer
    x = 421,472.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.