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Finding the Third Proportional to 107,891 and 169,249

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Solution

The third proportional to 107,891 and 169,249 is: 265,501.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,891 : 169,249 = 169,249 : x
  2. Step 2: Convert to fraction form
    107,891/169,249 = 169,249/x
  3. Step 3: Cross multiply
    107,891x = 169,249 × 169,249
  4. Step 4: Simplify right side
    107,891x = 28,645,224,001
  5. Step 5: Solve for x
    x = 28,645,224,001/107,891
  6. Step 6: Final answer
    x = 265,501.52

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.