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Finding the Third Proportional to 310,934 and 659,234

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Solution

The third proportional to 310,934 and 659,234 is: 1,397,690.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,934 : 659,234 = 659,234 : x
  2. Step 2: Convert to fraction form
    310,934/659,234 = 659,234/x
  3. Step 3: Cross multiply
    310,934x = 659,234 × 659,234
  4. Step 4: Simplify right side
    310,934x = 434,589,466,756
  5. Step 5: Solve for x
    x = 434,589,466,756/310,934
  6. Step 6: Final answer
    x = 1,397,690.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.