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Finding the Third Proportional to 317,022 and 660,234

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Solution

The third proportional to 317,022 and 660,234 is: 1,375,011.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,022 : 660,234 = 660,234 : x
  2. Step 2: Convert to fraction form
    317,022/660,234 = 660,234/x
  3. Step 3: Cross multiply
    317,022x = 660,234 × 660,234
  4. Step 4: Simplify right side
    317,022x = 435,908,934,756
  5. Step 5: Solve for x
    x = 435,908,934,756/317,022
  6. Step 6: Final answer
    x = 1,375,011.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.