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Finding the Third Proportional to 201,086 and 418,711

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Solution

The third proportional to 201,086 and 418,711 is: 871,860.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,086 : 418,711 = 418,711 : x
  2. Step 2: Convert to fraction form
    201,086/418,711 = 418,711/x
  3. Step 3: Cross multiply
    201,086x = 418,711 × 418,711
  4. Step 4: Simplify right side
    201,086x = 175,318,901,521
  5. Step 5: Solve for x
    x = 175,318,901,521/201,086
  6. Step 6: Final answer
    x = 871,860.31

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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.