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Finding the Third Proportional to 323,982 and 668,665.13

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Solution

The third proportional to 323,982 and 668,665.13 is: 1,380,055.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,982 : 668,665.13 = 668,665.13 : x
  2. Step 2: Convert to fraction form
    323,982/668,665.13 = 668,665.13/x
  3. Step 3: Cross multiply
    323,982x = 668,665.13 × 668,665.13
  4. Step 4: Simplify right side
    323,982x = 447,113,049,391.27
  5. Step 5: Solve for x
    x = 447,113,049,391.27/323,982
  6. Step 6: Final answer
    x = 1,380,055.22

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.