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Finding the Third Proportional to 201,138 and 418,962

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Solution

The third proportional to 201,138 and 418,962 is: 872,680.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,138 : 418,962 = 418,962 : x
  2. Step 2: Convert to fraction form
    201,138/418,962 = 418,962/x
  3. Step 3: Cross multiply
    201,138x = 418,962 × 418,962
  4. Step 4: Simplify right side
    201,138x = 175,529,157,444
  5. Step 5: Solve for x
    x = 175,529,157,444/201,138
  6. Step 6: Final answer
    x = 872,680.24

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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.