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Finding the Third Proportional to 422,790 and 654,372

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Solution

The third proportional to 422,790 and 654,372 is: 1,012,802.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,790 : 654,372 = 654,372 : x
  2. Step 2: Convert to fraction form
    422,790/654,372 = 654,372/x
  3. Step 3: Cross multiply
    422,790x = 654,372 × 654,372
  4. Step 4: Simplify right side
    422,790x = 428,202,714,384
  5. Step 5: Solve for x
    x = 428,202,714,384/422,790
  6. Step 6: Final answer
    x = 1,012,802.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.