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Finding the Third Proportional to 322,280 and 691,224

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Solution

The third proportional to 322,280 and 691,224 is: 1,482,532.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,280 : 691,224 = 691,224 : x
  2. Step 2: Convert to fraction form
    322,280/691,224 = 691,224/x
  3. Step 3: Cross multiply
    322,280x = 691,224 × 691,224
  4. Step 4: Simplify right side
    322,280x = 477,790,618,176
  5. Step 5: Solve for x
    x = 477,790,618,176/322,280
  6. Step 6: Final answer
    x = 1,482,532.64

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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.