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Finding the Third Proportional to 243,198 and 327,402

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Solution

The third proportional to 243,198 and 327,402 is: 440,760.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,198 : 327,402 = 327,402 : x
  2. Step 2: Convert to fraction form
    243,198/327,402 = 327,402/x
  3. Step 3: Cross multiply
    243,198x = 327,402 × 327,402
  4. Step 4: Simplify right side
    243,198x = 107,192,069,604
  5. Step 5: Solve for x
    x = 107,192,069,604/243,198
  6. Step 6: Final answer
    x = 440,760.49

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.