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Finding the Third Proportional to 200,974.50 and 418,487.34

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Solution

The third proportional to 200,974.50 and 418,487.34 is: 871,412.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,974.50 : 418,487.34 = 418,487.34 : x
  2. Step 2: Convert to fraction form
    200,974.50/418,487.34 = 418,487.34/x
  3. Step 3: Cross multiply
    200,974.50x = 418,487.34 × 418,487.34
  4. Step 4: Simplify right side
    200,974.50x = 175,131,656,878.93
  5. Step 5: Solve for x
    x = 175,131,656,878.93/200,974.50
  6. Step 6: Final answer
    x = 871,412.33

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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.