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Finding the Third Proportional to 323,162 and 691,252

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Solution

The third proportional to 323,162 and 691,252 is: 1,478,606.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,162 : 691,252 = 691,252 : x
  2. Step 2: Convert to fraction form
    323,162/691,252 = 691,252/x
  3. Step 3: Cross multiply
    323,162x = 691,252 × 691,252
  4. Step 4: Simplify right side
    323,162x = 477,829,327,504
  5. Step 5: Solve for x
    x = 477,829,327,504/323,162
  6. Step 6: Final answer
    x = 1,478,606.17

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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.