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Finding the Third Proportional to 18,733.78 and 40,231.69

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Solution

The third proportional to 18,733.78 and 40,231.69 is: 86,399.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,733.78 : 40,231.69 = 40,231.69 : x
  2. Step 2: Convert to fraction form
    18,733.78/40,231.69 = 40,231.69/x
  3. Step 3: Cross multiply
    18,733.78x = 40,231.69 × 40,231.69
  4. Step 4: Simplify right side
    18,733.78x = 1,618,588,679.10
  5. Step 5: Solve for x
    x = 1,618,588,679.10/18,733.78
  6. Step 6: Final answer
    x = 86,399.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.