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Finding the Third Proportional to 111,718 and 239,427

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Solution

The third proportional to 111,718 and 239,427 is: 513,124.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,718 : 239,427 = 239,427 : x
  2. Step 2: Convert to fraction form
    111,718/239,427 = 239,427/x
  3. Step 3: Cross multiply
    111,718x = 239,427 × 239,427
  4. Step 4: Simplify right side
    111,718x = 57,325,288,329
  5. Step 5: Solve for x
    x = 57,325,288,329/111,718
  6. Step 6: Final answer
    x = 513,124.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.