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Finding the Third Proportional to 200,860 and 418,364

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Solution

The third proportional to 200,860 and 418,364 is: 871,395.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,860 : 418,364 = 418,364 : x
  2. Step 2: Convert to fraction form
    200,860/418,364 = 418,364/x
  3. Step 3: Cross multiply
    200,860x = 418,364 × 418,364
  4. Step 4: Simplify right side
    200,860x = 175,028,436,496
  5. Step 5: Solve for x
    x = 175,028,436,496/200,860
  6. Step 6: Final answer
    x = 871,395.18

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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.