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Finding the Third Proportional to 420,478 and 635,743

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Solution

The third proportional to 420,478 and 635,743 is: 961,213.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,478 : 635,743 = 635,743 : x
  2. Step 2: Convert to fraction form
    420,478/635,743 = 635,743/x
  3. Step 3: Cross multiply
    420,478x = 635,743 × 635,743
  4. Step 4: Simplify right side
    420,478x = 404,169,162,049
  5. Step 5: Solve for x
    x = 404,169,162,049/420,478
  6. Step 6: Final answer
    x = 961,213.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.