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Finding the Third Proportional to 100,078 and 216,193

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Solution

The third proportional to 100,078 and 216,193 is: 467,029.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,078 : 216,193 = 216,193 : x
  2. Step 2: Convert to fraction form
    100,078/216,193 = 216,193/x
  3. Step 3: Cross multiply
    100,078x = 216,193 × 216,193
  4. Step 4: Simplify right side
    100,078x = 46,739,413,249
  5. Step 5: Solve for x
    x = 46,739,413,249/100,078
  6. Step 6: Final answer
    x = 467,029.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.