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Finding the Third Proportional to 186,900 and 398,265

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Solution

The third proportional to 186,900 and 398,265 is: 848,662.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,900 : 398,265 = 398,265 : x
  2. Step 2: Convert to fraction form
    186,900/398,265 = 398,265/x
  3. Step 3: Cross multiply
    186,900x = 398,265 × 398,265
  4. Step 4: Simplify right side
    186,900x = 158,615,010,225
  5. Step 5: Solve for x
    x = 158,615,010,225/186,900
  6. Step 6: Final answer
    x = 848,662.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.