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Finding the Third Proportional to 317,736 and 490,698

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Solution

The third proportional to 317,736 and 490,698 is: 757,813.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,736 : 490,698 = 490,698 : x
  2. Step 2: Convert to fraction form
    317,736/490,698 = 490,698/x
  3. Step 3: Cross multiply
    317,736x = 490,698 × 490,698
  4. Step 4: Simplify right side
    317,736x = 240,784,527,204
  5. Step 5: Solve for x
    x = 240,784,527,204/317,736
  6. Step 6: Final answer
    x = 757,813.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.