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Finding the Third Proportional to 111,228.38 and 262,454.63

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Solution

The third proportional to 111,228.38 and 262,454.63 is: 619,288.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,228.38 : 262,454.63 = 262,454.63 : x
  2. Step 2: Convert to fraction form
    111,228.38/262,454.63 = 262,454.63/x
  3. Step 3: Cross multiply
    111,228.38x = 262,454.63 × 262,454.63
  4. Step 4: Simplify right side
    111,228.38x = 68,882,430,183.89
  5. Step 5: Solve for x
    x = 68,882,430,183.89/111,228.38
  6. Step 6: Final answer
    x = 619,288.29

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.