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Finding the Third Proportional to 181,512 and 253,881

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Solution

The third proportional to 181,512 and 253,881 is: 355,103.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,512 : 253,881 = 253,881 : x
  2. Step 2: Convert to fraction form
    181,512/253,881 = 253,881/x
  3. Step 3: Cross multiply
    181,512x = 253,881 × 253,881
  4. Step 4: Simplify right side
    181,512x = 64,455,562,161
  5. Step 5: Solve for x
    x = 64,455,562,161/181,512
  6. Step 6: Final answer
    x = 355,103.59

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.