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Finding the Third Proportional to 92,212 and 202,280

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Solution

The third proportional to 92,212 and 202,280 is: 443,729.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,212 : 202,280 = 202,280 : x
  2. Step 2: Convert to fraction form
    92,212/202,280 = 202,280/x
  3. Step 3: Cross multiply
    92,212x = 202,280 × 202,280
  4. Step 4: Simplify right side
    92,212x = 40,917,198,400
  5. Step 5: Solve for x
    x = 40,917,198,400/92,212
  6. Step 6: Final answer
    x = 443,729.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.