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Finding the Third Proportional to 55,809 and 80,534.25

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Solution

The third proportional to 55,809 and 80,534.25 is: 116,213.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,809 : 80,534.25 = 80,534.25 : x
  2. Step 2: Convert to fraction form
    55,809/80,534.25 = 80,534.25/x
  3. Step 3: Cross multiply
    55,809x = 80,534.25 × 80,534.25
  4. Step 4: Simplify right side
    55,809x = 6,485,765,423.06
  5. Step 5: Solve for x
    x = 6,485,765,423.06/55,809
  6. Step 6: Final answer
    x = 116,213.61

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.