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Finding the Third Proportional to 199,799 and 418,065

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Solution

The third proportional to 199,799 and 418,065 is: 874,770.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,799 : 418,065 = 418,065 : x
  2. Step 2: Convert to fraction form
    199,799/418,065 = 418,065/x
  3. Step 3: Cross multiply
    199,799x = 418,065 × 418,065
  4. Step 4: Simplify right side
    199,799x = 174,778,344,225
  5. Step 5: Solve for x
    x = 174,778,344,225/199,799
  6. Step 6: Final answer
    x = 874,770.87

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.