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Finding the Third Proportional to 243,210 and 327,419

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Solution

The third proportional to 243,210 and 327,419 is: 440,784.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,210 : 327,419 = 327,419 : x
  2. Step 2: Convert to fraction form
    243,210/327,419 = 327,419/x
  3. Step 3: Cross multiply
    243,210x = 327,419 × 327,419
  4. Step 4: Simplify right side
    243,210x = 107,203,201,561
  5. Step 5: Solve for x
    x = 107,203,201,561/243,210
  6. Step 6: Final answer
    x = 440,784.51

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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.