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Finding the Third Proportional to 322,248 and 691,168

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Solution

The third proportional to 322,248 and 691,168 is: 1,482,439.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,248 : 691,168 = 691,168 : x
  2. Step 2: Convert to fraction form
    322,248/691,168 = 691,168/x
  3. Step 3: Cross multiply
    322,248x = 691,168 × 691,168
  4. Step 4: Simplify right side
    322,248x = 477,713,204,224
  5. Step 5: Solve for x
    x = 477,713,204,224/322,248
  6. Step 6: Final answer
    x = 1,482,439.62

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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.