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Finding the Third Proportional to 92,568 and 199,200

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Solution

The third proportional to 92,568 and 199,200 is: 428,664.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,568 : 199,200 = 199,200 : x
  2. Step 2: Convert to fraction form
    92,568/199,200 = 199,200/x
  3. Step 3: Cross multiply
    92,568x = 199,200 × 199,200
  4. Step 4: Simplify right side
    92,568x = 39,680,640,000
  5. Step 5: Solve for x
    x = 39,680,640,000/92,568
  6. Step 6: Final answer
    x = 428,664.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.