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Finding the Third Proportional to 420,598.50 and 635,914.50

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Solution

The third proportional to 420,598.50 and 635,914.50 is: 961,456.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,598.50 : 635,914.50 = 635,914.50 : x
  2. Step 2: Convert to fraction form
    420,598.50/635,914.50 = 635,914.50/x
  3. Step 3: Cross multiply
    420,598.50x = 635,914.50 × 635,914.50
  4. Step 4: Simplify right side
    420,598.50x = 404,387,251,310.25
  5. Step 5: Solve for x
    x = 404,387,251,310.25/420,598.50
  6. Step 6: Final answer
    x = 961,456.71

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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.