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Finding the Third Proportional to 422,963 and 915,622

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Solution

The third proportional to 422,963 and 915,622 is: 1,982,120.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,963 : 915,622 = 915,622 : x
  2. Step 2: Convert to fraction form
    422,963/915,622 = 915,622/x
  3. Step 3: Cross multiply
    422,963x = 915,622 × 915,622
  4. Step 4: Simplify right side
    422,963x = 838,363,646,884
  5. Step 5: Solve for x
    x = 838,363,646,884/422,963
  6. Step 6: Final answer
    x = 1,982,120.53

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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.