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Finding the Third Proportional to 76,467 and 179,909

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Solution

The third proportional to 76,467 and 179,909 is: 423,283.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,467 : 179,909 = 179,909 : x
  2. Step 2: Convert to fraction form
    76,467/179,909 = 179,909/x
  3. Step 3: Cross multiply
    76,467x = 179,909 × 179,909
  4. Step 4: Simplify right side
    76,467x = 32,367,248,281
  5. Step 5: Solve for x
    x = 32,367,248,281/76,467
  6. Step 6: Final answer
    x = 423,283.88

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.