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Finding the Third Proportional to 111,120 and 239,615

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Solution

The third proportional to 111,120 and 239,615 is: 516,696.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,120 : 239,615 = 239,615 : x
  2. Step 2: Convert to fraction form
    111,120/239,615 = 239,615/x
  3. Step 3: Cross multiply
    111,120x = 239,615 × 239,615
  4. Step 4: Simplify right side
    111,120x = 57,415,348,225
  5. Step 5: Solve for x
    x = 57,415,348,225/111,120
  6. Step 6: Final answer
    x = 516,696.80

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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.