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Finding the Third Proportional to 111,069 and 239,878

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Solution

The third proportional to 111,069 and 239,878 is: 518,069.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,069 : 239,878 = 239,878 : x
  2. Step 2: Convert to fraction form
    111,069/239,878 = 239,878/x
  3. Step 3: Cross multiply
    111,069x = 239,878 × 239,878
  4. Step 4: Simplify right side
    111,069x = 57,541,454,884
  5. Step 5: Solve for x
    x = 57,541,454,884/111,069
  6. Step 6: Final answer
    x = 518,069.44

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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.