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Finding the Third Proportional to 398,930 and 861,268

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Solution

The third proportional to 398,930 and 861,268 is: 1,859,430.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,930 : 861,268 = 861,268 : x
  2. Step 2: Convert to fraction form
    398,930/861,268 = 861,268/x
  3. Step 3: Cross multiply
    398,930x = 861,268 × 861,268
  4. Step 4: Simplify right side
    398,930x = 741,782,567,824
  5. Step 5: Solve for x
    x = 741,782,567,824/398,930
  6. Step 6: Final answer
    x = 1,859,430.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.