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Finding the Third Proportional to 322,290 and 691,220

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Solution

The third proportional to 322,290 and 691,220 is: 1,482,469.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,290 : 691,220 = 691,220 : x
  2. Step 2: Convert to fraction form
    322,290/691,220 = 691,220/x
  3. Step 3: Cross multiply
    322,290x = 691,220 × 691,220
  4. Step 4: Simplify right side
    322,290x = 477,785,088,400
  5. Step 5: Solve for x
    x = 477,785,088,400/322,290
  6. Step 6: Final answer
    x = 1,482,469.48

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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.