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Finding the Third Proportional to 323,244 and 679,986

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Solution

The third proportional to 323,244 and 679,986 is: 1,430,439.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,244 : 679,986 = 679,986 : x
  2. Step 2: Convert to fraction form
    323,244/679,986 = 679,986/x
  3. Step 3: Cross multiply
    323,244x = 679,986 × 679,986
  4. Step 4: Simplify right side
    323,244x = 462,380,960,196
  5. Step 5: Solve for x
    x = 462,380,960,196/323,244
  6. Step 6: Final answer
    x = 1,430,439.42

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.