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Finding the Third Proportional to 322,476 and 683,367

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Solution

The third proportional to 322,476 and 683,367 is: 1,448,140.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,476 : 683,367 = 683,367 : x
  2. Step 2: Convert to fraction form
    322,476/683,367 = 683,367/x
  3. Step 3: Cross multiply
    322,476x = 683,367 × 683,367
  4. Step 4: Simplify right side
    322,476x = 466,990,456,689
  5. Step 5: Solve for x
    x = 466,990,456,689/322,476
  6. Step 6: Final answer
    x = 1,448,140.19

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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.