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Finding the Third Proportional to 81,024 and 107,856

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Solution

The third proportional to 81,024 and 107,856 is: 143,573.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,024 : 107,856 = 107,856 : x
  2. Step 2: Convert to fraction form
    81,024/107,856 = 107,856/x
  3. Step 3: Cross multiply
    81,024x = 107,856 × 107,856
  4. Step 4: Simplify right side
    81,024x = 11,632,916,736
  5. Step 5: Solve for x
    x = 11,632,916,736/81,024
  6. Step 6: Final answer
    x = 143,573.72

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.