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Finding the Third Proportional to 200,794 and 418,235

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Solution

The third proportional to 200,794 and 418,235 is: 871,144.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,794 : 418,235 = 418,235 : x
  2. Step 2: Convert to fraction form
    200,794/418,235 = 418,235/x
  3. Step 3: Cross multiply
    200,794x = 418,235 × 418,235
  4. Step 4: Simplify right side
    200,794x = 174,920,515,225
  5. Step 5: Solve for x
    x = 174,920,515,225/200,794
  6. Step 6: Final answer
    x = 871,144.13

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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.