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Finding the Third Proportional to 57,783 and 81,132.75

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Solution

The third proportional to 57,783 and 81,132.75 is: 113,917.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,783 : 81,132.75 = 81,132.75 : x
  2. Step 2: Convert to fraction form
    57,783/81,132.75 = 81,132.75/x
  3. Step 3: Cross multiply
    57,783x = 81,132.75 × 81,132.75
  4. Step 4: Simplify right side
    57,783x = 6,582,523,122.56
  5. Step 5: Solve for x
    x = 6,582,523,122.56/57,783
  6. Step 6: Final answer
    x = 113,917.99

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.