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Finding the Third Proportional to 51,367 and 111,158

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Solution

The third proportional to 51,367 and 111,158 is: 240,545.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,367 : 111,158 = 111,158 : x
  2. Step 2: Convert to fraction form
    51,367/111,158 = 111,158/x
  3. Step 3: Cross multiply
    51,367x = 111,158 × 111,158
  4. Step 4: Simplify right side
    51,367x = 12,356,100,964
  5. Step 5: Solve for x
    x = 12,356,100,964/51,367
  6. Step 6: Final answer
    x = 240,545.51

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