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Finding the Third Proportional to 420,168 and 612,198

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Solution

The third proportional to 420,168 and 612,198 is: 891,991.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,168 : 612,198 = 612,198 : x
  2. Step 2: Convert to fraction form
    420,168/612,198 = 612,198/x
  3. Step 3: Cross multiply
    420,168x = 612,198 × 612,198
  4. Step 4: Simplify right side
    420,168x = 374,786,391,204
  5. Step 5: Solve for x
    x = 374,786,391,204/420,168
  6. Step 6: Final answer
    x = 891,991.75

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.