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Finding the Third Proportional to 40,861 and 87,977

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Solution

The third proportional to 40,861 and 87,977 is: 189,421.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,861 : 87,977 = 87,977 : x
  2. Step 2: Convert to fraction form
    40,861/87,977 = 87,977/x
  3. Step 3: Cross multiply
    40,861x = 87,977 × 87,977
  4. Step 4: Simplify right side
    40,861x = 7,739,952,529
  5. Step 5: Solve for x
    x = 7,739,952,529/40,861
  6. Step 6: Final answer
    x = 189,421.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.