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Finding the Third Proportional to 81,019.83 and 122,649.19

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Solution

The third proportional to 81,019.83 and 122,649.19 is: 185,668.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,019.83 : 122,649.19 = 122,649.19 : x
  2. Step 2: Convert to fraction form
    81,019.83/122,649.19 = 122,649.19/x
  3. Step 3: Cross multiply
    81,019.83x = 122,649.19 × 122,649.19
  4. Step 4: Simplify right side
    81,019.83x = 15,042,823,194.41
  5. Step 5: Solve for x
    x = 15,042,823,194.41/81,019.83
  6. Step 6: Final answer
    x = 185,668.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.