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Finding the Third Proportional to 263,702 and 408,659

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Solution

The third proportional to 263,702 and 408,659 is: 633,298.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,702 : 408,659 = 408,659 : x
  2. Step 2: Convert to fraction form
    263,702/408,659 = 408,659/x
  3. Step 3: Cross multiply
    263,702x = 408,659 × 408,659
  4. Step 4: Simplify right side
    263,702x = 167,002,178,281
  5. Step 5: Solve for x
    x = 167,002,178,281/263,702
  6. Step 6: Final answer
    x = 633,298.87

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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.