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Finding the Third Proportional to 201,192 and 418,911

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Solution

The third proportional to 201,192 and 418,911 is: 872,233.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,192 : 418,911 = 418,911 : x
  2. Step 2: Convert to fraction form
    201,192/418,911 = 418,911/x
  3. Step 3: Cross multiply
    201,192x = 418,911 × 418,911
  4. Step 4: Simplify right side
    201,192x = 175,486,425,921
  5. Step 5: Solve for x
    x = 175,486,425,921/201,192
  6. Step 6: Final answer
    x = 872,233.62

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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.