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Finding the Third Proportional to 322,310 and 683,039

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Solution

The third proportional to 322,310 and 683,039 is: 1,447,495.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,310 : 683,039 = 683,039 : x
  2. Step 2: Convert to fraction form
    322,310/683,039 = 683,039/x
  3. Step 3: Cross multiply
    322,310x = 683,039 × 683,039
  4. Step 4: Simplify right side
    322,310x = 466,542,275,521
  5. Step 5: Solve for x
    x = 466,542,275,521/322,310
  6. Step 6: Final answer
    x = 1,447,495.50

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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.