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Finding the Third Proportional to 322,242 and 691,156

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Solution

The third proportional to 322,242 and 691,156 is: 1,482,415.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,242 : 691,156 = 691,156 : x
  2. Step 2: Convert to fraction form
    322,242/691,156 = 691,156/x
  3. Step 3: Cross multiply
    322,242x = 691,156 × 691,156
  4. Step 4: Simplify right side
    322,242x = 477,696,616,336
  5. Step 5: Solve for x
    x = 477,696,616,336/322,242
  6. Step 6: Final answer
    x = 1,482,415.75

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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.