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Finding the Third Proportional to 87,432.75 and 193,236.75

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Solution

The third proportional to 87,432.75 and 193,236.75 is: 427,076.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,432.75 : 193,236.75 = 193,236.75 : x
  2. Step 2: Convert to fraction form
    87,432.75/193,236.75 = 193,236.75/x
  3. Step 3: Cross multiply
    87,432.75x = 193,236.75 × 193,236.75
  4. Step 4: Simplify right side
    87,432.75x = 37,340,441,550.56
  5. Step 5: Solve for x
    x = 37,340,441,550.56/87,432.75
  6. Step 6: Final answer
    x = 427,076.14

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.