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Finding the Third Proportional to 422,226 and 861,642

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Solution

The third proportional to 422,226 and 861,642 is: 1,758,363.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,226 : 861,642 = 861,642 : x
  2. Step 2: Convert to fraction form
    422,226/861,642 = 861,642/x
  3. Step 3: Cross multiply
    422,226x = 861,642 × 861,642
  4. Step 4: Simplify right side
    422,226x = 742,426,936,164
  5. Step 5: Solve for x
    x = 742,426,936,164/422,226
  6. Step 6: Final answer
    x = 1,758,363.85

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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.