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Finding the Third Proportional to 225,621 and 338,479

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Solution

The third proportional to 225,621 and 338,479 is: 507,789.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,621 : 338,479 = 338,479 : x
  2. Step 2: Convert to fraction form
    225,621/338,479 = 338,479/x
  3. Step 3: Cross multiply
    225,621x = 338,479 × 338,479
  4. Step 4: Simplify right side
    225,621x = 114,568,033,441
  5. Step 5: Solve for x
    x = 114,568,033,441/225,621
  6. Step 6: Final answer
    x = 507,789.76

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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.