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Finding the Third Proportional to 317,586 and 681,225

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Solution

The third proportional to 317,586 and 681,225 is: 1,461,234.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,586 : 681,225 = 681,225 : x
  2. Step 2: Convert to fraction form
    317,586/681,225 = 681,225/x
  3. Step 3: Cross multiply
    317,586x = 681,225 × 681,225
  4. Step 4: Simplify right side
    317,586x = 464,067,500,625
  5. Step 5: Solve for x
    x = 464,067,500,625/317,586
  6. Step 6: Final answer
    x = 1,461,234.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.