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Finding the Third Proportional to 57,843 and 87,615

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Solution

The third proportional to 57,843 and 87,615 is: 132,710.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,843 : 87,615 = 87,615 : x
  2. Step 2: Convert to fraction form
    57,843/87,615 = 87,615/x
  3. Step 3: Cross multiply
    57,843x = 87,615 × 87,615
  4. Step 4: Simplify right side
    57,843x = 7,676,388,225
  5. Step 5: Solve for x
    x = 7,676,388,225/57,843
  6. Step 6: Final answer
    x = 132,710.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.