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Finding the Third Proportional to 78,989.50 and 188,867.50

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Solution

The third proportional to 78,989.50 and 188,867.50 is: 451,590.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,989.50 : 188,867.50 = 188,867.50 : x
  2. Step 2: Convert to fraction form
    78,989.50/188,867.50 = 188,867.50/x
  3. Step 3: Cross multiply
    78,989.50x = 188,867.50 × 188,867.50
  4. Step 4: Simplify right side
    78,989.50x = 35,670,932,556.25
  5. Step 5: Solve for x
    x = 35,670,932,556.25/78,989.50
  6. Step 6: Final answer
    x = 451,590.81

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These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.