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Finding the Third Proportional to 200,874 and 418,391

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Solution

The third proportional to 200,874 and 418,391 is: 871,446.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,874 : 418,391 = 418,391 : x
  2. Step 2: Convert to fraction form
    200,874/418,391 = 418,391/x
  3. Step 3: Cross multiply
    200,874x = 418,391 × 418,391
  4. Step 4: Simplify right side
    200,874x = 175,051,028,881
  5. Step 5: Solve for x
    x = 175,051,028,881/200,874
  6. Step 6: Final answer
    x = 871,446.92

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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.