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Finding the Third Proportional to 172,806 and 274,761

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Solution

The third proportional to 172,806 and 274,761 is: 436,869.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,806 : 274,761 = 274,761 : x
  2. Step 2: Convert to fraction form
    172,806/274,761 = 274,761/x
  3. Step 3: Cross multiply
    172,806x = 274,761 × 274,761
  4. Step 4: Simplify right side
    172,806x = 75,493,607,121
  5. Step 5: Solve for x
    x = 75,493,607,121/172,806
  6. Step 6: Final answer
    x = 436,869.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.