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Finding the Third Proportional to 422,180 and 861,580

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Solution

The third proportional to 422,180 and 861,580 is: 1,758,302.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,180 : 861,580 = 861,580 : x
  2. Step 2: Convert to fraction form
    422,180/861,580 = 861,580/x
  3. Step 3: Cross multiply
    422,180x = 861,580 × 861,580
  4. Step 4: Simplify right side
    422,180x = 742,320,096,400
  5. Step 5: Solve for x
    x = 742,320,096,400/422,180
  6. Step 6: Final answer
    x = 1,758,302.37

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.