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Finding the Third Proportional to 94,801 and 201,266

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Solution

The third proportional to 94,801 and 201,266 is: 427,295.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,801 : 201,266 = 201,266 : x
  2. Step 2: Convert to fraction form
    94,801/201,266 = 201,266/x
  3. Step 3: Cross multiply
    94,801x = 201,266 × 201,266
  4. Step 4: Simplify right side
    94,801x = 40,508,002,756
  5. Step 5: Solve for x
    x = 40,508,002,756/94,801
  6. Step 6: Final answer
    x = 427,295.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.