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Finding the Third Proportional to 204,873 and 321,386

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Solution

The third proportional to 204,873 and 321,386 is: 504,160.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,873 : 321,386 = 321,386 : x
  2. Step 2: Convert to fraction form
    204,873/321,386 = 321,386/x
  3. Step 3: Cross multiply
    204,873x = 321,386 × 321,386
  4. Step 4: Simplify right side
    204,873x = 103,288,960,996
  5. Step 5: Solve for x
    x = 103,288,960,996/204,873
  6. Step 6: Final answer
    x = 504,160.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.