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Finding the Third Proportional to 201,156 and 418,847

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Solution

The third proportional to 201,156 and 418,847 is: 872,123.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,156 : 418,847 = 418,847 : x
  2. Step 2: Convert to fraction form
    201,156/418,847 = 418,847/x
  3. Step 3: Cross multiply
    201,156x = 418,847 × 418,847
  4. Step 4: Simplify right side
    201,156x = 175,432,809,409
  5. Step 5: Solve for x
    x = 175,432,809,409/201,156
  6. Step 6: Final answer
    x = 872,123.18

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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.