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Finding the Third Proportional to 41,067 and 64,410.19

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Solution

The third proportional to 41,067 and 64,410.19 is: 101,022.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,067 : 64,410.19 = 64,410.19 : x
  2. Step 2: Convert to fraction form
    41,067/64,410.19 = 64,410.19/x
  3. Step 3: Cross multiply
    41,067x = 64,410.19 × 64,410.19
  4. Step 4: Simplify right side
    41,067x = 4,148,672,253.79
  5. Step 5: Solve for x
    x = 4,148,672,253.79/41,067
  6. Step 6: Final answer
    x = 101,022.04

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.