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Finding the Third Proportional to 41,737 and 92,806

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Solution

The third proportional to 41,737 and 92,806 is: 206,362.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,737 : 92,806 = 92,806 : x
  2. Step 2: Convert to fraction form
    41,737/92,806 = 92,806/x
  3. Step 3: Cross multiply
    41,737x = 92,806 × 92,806
  4. Step 4: Simplify right side
    41,737x = 8,612,953,636
  5. Step 5: Solve for x
    x = 8,612,953,636/41,737
  6. Step 6: Final answer
    x = 206,362.55

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.