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Finding the Third Proportional to 420,610 and 635,934

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Solution

The third proportional to 420,610 and 635,934 is: 961,489.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,610 : 635,934 = 635,934 : x
  2. Step 2: Convert to fraction form
    420,610/635,934 = 635,934/x
  3. Step 3: Cross multiply
    420,610x = 635,934 × 635,934
  4. Step 4: Simplify right side
    420,610x = 404,412,052,356
  5. Step 5: Solve for x
    x = 404,412,052,356/420,610
  6. Step 6: Final answer
    x = 961,489.39

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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.