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Finding the Third Proportional to 323,679.38 and 490,017.09

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Solution

The third proportional to 323,679.38 and 490,017.09 is: 741,835.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,679.38 : 490,017.09 = 490,017.09 : x
  2. Step 2: Convert to fraction form
    323,679.38/490,017.09 = 490,017.09/x
  3. Step 3: Cross multiply
    323,679.38x = 490,017.09 × 490,017.09
  4. Step 4: Simplify right side
    323,679.38x = 240,116,752,167.20
  5. Step 5: Solve for x
    x = 240,116,752,167.20/323,679.38
  6. Step 6: Final answer
    x = 741,835.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.