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Finding the Third Proportional to 322,240 and 691,152

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Solution

The third proportional to 322,240 and 691,152 is: 1,482,407.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,240 : 691,152 = 691,152 : x
  2. Step 2: Convert to fraction form
    322,240/691,152 = 691,152/x
  3. Step 3: Cross multiply
    322,240x = 691,152 × 691,152
  4. Step 4: Simplify right side
    322,240x = 477,691,087,104
  5. Step 5: Solve for x
    x = 477,691,087,104/322,240
  6. Step 6: Final answer
    x = 1,482,407.79

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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.