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Finding the Third Proportional to 80,118 and 122,943.75

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Solution

The third proportional to 80,118 and 122,943.75 is: 188,661.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,118 : 122,943.75 = 122,943.75 : x
  2. Step 2: Convert to fraction form
    80,118/122,943.75 = 122,943.75/x
  3. Step 3: Cross multiply
    80,118x = 122,943.75 × 122,943.75
  4. Step 4: Simplify right side
    80,118x = 15,115,165,664.06
  5. Step 5: Solve for x
    x = 15,115,165,664.06/80,118
  6. Step 6: Final answer
    x = 188,661.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.