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Finding the Third Proportional to 138,204 and 288,684

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Solution

The third proportional to 138,204 and 288,684 is: 603,010.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,204 : 288,684 = 288,684 : x
  2. Step 2: Convert to fraction form
    138,204/288,684 = 288,684/x
  3. Step 3: Cross multiply
    138,204x = 288,684 × 288,684
  4. Step 4: Simplify right side
    138,204x = 83,338,451,856
  5. Step 5: Solve for x
    x = 83,338,451,856/138,204
  6. Step 6: Final answer
    x = 603,010.42

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.