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Finding the Third Proportional to 394,807.50 and 635,817

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Solution

The third proportional to 394,807.50 and 635,817 is: 1,023,950.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,807.50 : 635,817 = 635,817 : x
  2. Step 2: Convert to fraction form
    394,807.50/635,817 = 635,817/x
  3. Step 3: Cross multiply
    394,807.50x = 635,817 × 635,817
  4. Step 4: Simplify right side
    394,807.50x = 404,263,257,489
  5. Step 5: Solve for x
    x = 404,263,257,489/394,807.50
  6. Step 6: Final answer
    x = 1,023,950.30

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.