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Finding the Third Proportional to 172,505 and 261,869

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Solution

The third proportional to 172,505 and 261,869 is: 397,526.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,505 : 261,869 = 261,869 : x
  2. Step 2: Convert to fraction form
    172,505/261,869 = 261,869/x
  3. Step 3: Cross multiply
    172,505x = 261,869 × 261,869
  4. Step 4: Simplify right side
    172,505x = 68,575,373,161
  5. Step 5: Solve for x
    x = 68,575,373,161/172,505
  6. Step 6: Final answer
    x = 397,526.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.