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Finding the Third Proportional to 92,072 and 202,232

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Solution

The third proportional to 92,072 and 202,232 is: 444,193.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,072 : 202,232 = 202,232 : x
  2. Step 2: Convert to fraction form
    92,072/202,232 = 202,232/x
  3. Step 3: Cross multiply
    92,072x = 202,232 × 202,232
  4. Step 4: Simplify right side
    92,072x = 40,897,781,824
  5. Step 5: Solve for x
    x = 40,897,781,824/92,072
  6. Step 6: Final answer
    x = 444,193.48

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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.