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Finding the Third Proportional to 33,439 and 78,932.50

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Solution

The third proportional to 33,439 and 78,932.50 is: 186,319.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,439 : 78,932.50 = 78,932.50 : x
  2. Step 2: Convert to fraction form
    33,439/78,932.50 = 78,932.50/x
  3. Step 3: Cross multiply
    33,439x = 78,932.50 × 78,932.50
  4. Step 4: Simplify right side
    33,439x = 6,230,339,556.25
  5. Step 5: Solve for x
    x = 6,230,339,556.25/33,439
  6. Step 6: Final answer
    x = 186,319.55

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.