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Finding the Third Proportional to 81,789.75 and 110,478.94

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Solution

The third proportional to 81,789.75 and 110,478.94 is: 149,231.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,789.75 : 110,478.94 = 110,478.94 : x
  2. Step 2: Convert to fraction form
    81,789.75/110,478.94 = 110,478.94/x
  3. Step 3: Cross multiply
    81,789.75x = 110,478.94 × 110,478.94
  4. Step 4: Simplify right side
    81,789.75x = 12,205,595,631.13
  5. Step 5: Solve for x
    x = 12,205,595,631.13/81,789.75
  6. Step 6: Final answer
    x = 149,231.36

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.