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Finding the Third Proportional to 179,458 and 423,493

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Solution

The third proportional to 179,458 and 423,493 is: 999,377.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,458 : 423,493 = 423,493 : x
  2. Step 2: Convert to fraction form
    179,458/423,493 = 423,493/x
  3. Step 3: Cross multiply
    179,458x = 423,493 × 423,493
  4. Step 4: Simplify right side
    179,458x = 179,346,321,049
  5. Step 5: Solve for x
    x = 179,346,321,049/179,458
  6. Step 6: Final answer
    x = 999,377.69

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.