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Finding the Third Proportional to 186,204 and 398,651

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Solution

The third proportional to 186,204 and 398,651 is: 853,486.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,204 : 398,651 = 398,651 : x
  2. Step 2: Convert to fraction form
    186,204/398,651 = 398,651/x
  3. Step 3: Cross multiply
    186,204x = 398,651 × 398,651
  4. Step 4: Simplify right side
    186,204x = 158,922,619,801
  5. Step 5: Solve for x
    x = 158,922,619,801/186,204
  6. Step 6: Final answer
    x = 853,486.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.