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Finding the Third Proportional to 33,862.50 and 77,879.25

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Solution

The third proportional to 33,862.50 and 77,879.25 is: 179,111.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,862.50 : 77,879.25 = 77,879.25 : x
  2. Step 2: Convert to fraction form
    33,862.50/77,879.25 = 77,879.25/x
  3. Step 3: Cross multiply
    33,862.50x = 77,879.25 × 77,879.25
  4. Step 4: Simplify right side
    33,862.50x = 6,065,177,580.56
  5. Step 5: Solve for x
    x = 6,065,177,580.56/33,862.50
  6. Step 6: Final answer
    x = 179,111.93

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.