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Finding the Third Proportional to 208,782 and 317,324

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Solution

The third proportional to 208,782 and 317,324 is: 482,295.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,782 : 317,324 = 317,324 : x
  2. Step 2: Convert to fraction form
    208,782/317,324 = 317,324/x
  3. Step 3: Cross multiply
    208,782x = 317,324 × 317,324
  4. Step 4: Simplify right side
    208,782x = 100,694,520,976
  5. Step 5: Solve for x
    x = 100,694,520,976/208,782
  6. Step 6: Final answer
    x = 482,295.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.