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Finding the Third Proportional to 509,251 and 1,120,193

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Solution

The third proportional to 509,251 and 1,120,193 is: 2,464,074.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,251 : 1,120,193 = 1,120,193 : x
  2. Step 2: Convert to fraction form
    509,251/1,120,193 = 1,120,193/x
  3. Step 3: Cross multiply
    509,251x = 1,120,193 × 1,120,193
  4. Step 4: Simplify right side
    509,251x = 1,254,832,357,249
  5. Step 5: Solve for x
    x = 1,254,832,357,249/509,251
  6. Step 6: Final answer
    x = 2,464,074.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.