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Finding the Third Proportional to 198,048 and 412,418

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Solution

The third proportional to 198,048 and 412,418 is: 858,825.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,048 : 412,418 = 412,418 : x
  2. Step 2: Convert to fraction form
    198,048/412,418 = 412,418/x
  3. Step 3: Cross multiply
    198,048x = 412,418 × 412,418
  4. Step 4: Simplify right side
    198,048x = 170,088,606,724
  5. Step 5: Solve for x
    x = 170,088,606,724/198,048
  6. Step 6: Final answer
    x = 858,825.17

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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.