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Finding the Third Proportional to 201,155 and 418,845

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Solution

The third proportional to 201,155 and 418,845 is: 872,119.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,155 : 418,845 = 418,845 : x
  2. Step 2: Convert to fraction form
    201,155/418,845 = 418,845/x
  3. Step 3: Cross multiply
    201,155x = 418,845 × 418,845
  4. Step 4: Simplify right side
    201,155x = 175,431,134,025
  5. Step 5: Solve for x
    x = 175,431,134,025/201,155
  6. Step 6: Final answer
    x = 872,119.18

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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.