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Finding the Third Proportional to 422,156 and 861,536

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Solution

The third proportional to 422,156 and 861,536 is: 1,758,222.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,156 : 861,536 = 861,536 : x
  2. Step 2: Convert to fraction form
    422,156/861,536 = 861,536/x
  3. Step 3: Cross multiply
    422,156x = 861,536 × 861,536
  4. Step 4: Simplify right side
    422,156x = 742,244,279,296
  5. Step 5: Solve for x
    x = 742,244,279,296/422,156
  6. Step 6: Final answer
    x = 1,758,222.74

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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.