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Finding the Third Proportional to 181,649 and 269,881

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Solution

The third proportional to 181,649 and 269,881 is: 400,969.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,649 : 269,881 = 269,881 : x
  2. Step 2: Convert to fraction form
    181,649/269,881 = 269,881/x
  3. Step 3: Cross multiply
    181,649x = 269,881 × 269,881
  4. Step 4: Simplify right side
    181,649x = 72,835,754,161
  5. Step 5: Solve for x
    x = 72,835,754,161/181,649
  6. Step 6: Final answer
    x = 400,969.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.