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Finding the Third Proportional to 323,234 and 691,396

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Solution

The third proportional to 323,234 and 691,396 is: 1,478,892.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,234 : 691,396 = 691,396 : x
  2. Step 2: Convert to fraction form
    323,234/691,396 = 691,396/x
  3. Step 3: Cross multiply
    323,234x = 691,396 × 691,396
  4. Step 4: Simplify right side
    323,234x = 478,028,428,816
  5. Step 5: Solve for x
    x = 478,028,428,816/323,234
  6. Step 6: Final answer
    x = 1,478,892.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.