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Finding the Third Proportional to 201,180 and 418,894

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Solution

The third proportional to 201,180 and 418,894 is: 872,214.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,180 : 418,894 = 418,894 : x
  2. Step 2: Convert to fraction form
    201,180/418,894 = 418,894/x
  3. Step 3: Cross multiply
    201,180x = 418,894 × 418,894
  4. Step 4: Simplify right side
    201,180x = 175,472,183,236
  5. Step 5: Solve for x
    x = 175,472,183,236/201,180
  6. Step 6: Final answer
    x = 872,214.85

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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.