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Finding the Third Proportional to 55,514 and 80,247

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Solution

The third proportional to 55,514 and 80,247 is: 115,999.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,514 : 80,247 = 80,247 : x
  2. Step 2: Convert to fraction form
    55,514/80,247 = 80,247/x
  3. Step 3: Cross multiply
    55,514x = 80,247 × 80,247
  4. Step 4: Simplify right side
    55,514x = 6,439,581,009
  5. Step 5: Solve for x
    x = 6,439,581,009/55,514
  6. Step 6: Final answer
    x = 115,999.23

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.