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Finding the Third Proportional to 56,880.50 and 78,408.75

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Solution

The third proportional to 56,880.50 and 78,408.75 is: 108,085.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,880.50 : 78,408.75 = 78,408.75 : x
  2. Step 2: Convert to fraction form
    56,880.50/78,408.75 = 78,408.75/x
  3. Step 3: Cross multiply
    56,880.50x = 78,408.75 × 78,408.75
  4. Step 4: Simplify right side
    56,880.50x = 6,147,932,076.56
  5. Step 5: Solve for x
    x = 6,147,932,076.56/56,880.50
  6. Step 6: Final answer
    x = 108,085.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.