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Finding the Third Proportional to 198,336 and 412,716

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Solution

The third proportional to 198,336 and 412,716 is: 858,817.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,336 : 412,716 = 412,716 : x
  2. Step 2: Convert to fraction form
    198,336/412,716 = 412,716/x
  3. Step 3: Cross multiply
    198,336x = 412,716 × 412,716
  4. Step 4: Simplify right side
    198,336x = 170,334,496,656
  5. Step 5: Solve for x
    x = 170,334,496,656/198,336
  6. Step 6: Final answer
    x = 858,817.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.