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Finding the Third Proportional to 92,922 and 204,600

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Solution

The third proportional to 92,922 and 204,600 is: 450,497.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,922 : 204,600 = 204,600 : x
  2. Step 2: Convert to fraction form
    92,922/204,600 = 204,600/x
  3. Step 3: Cross multiply
    92,922x = 204,600 × 204,600
  4. Step 4: Simplify right side
    92,922x = 41,861,160,000
  5. Step 5: Solve for x
    x = 41,861,160,000/92,922
  6. Step 6: Final answer
    x = 450,497.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.