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Finding the Third Proportional to 111,715 and 239,422

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Solution

The third proportional to 111,715 and 239,422 is: 513,117.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,715 : 239,422 = 239,422 : x
  2. Step 2: Convert to fraction form
    111,715/239,422 = 239,422/x
  3. Step 3: Cross multiply
    111,715x = 239,422 × 239,422
  4. Step 4: Simplify right side
    111,715x = 57,322,894,084
  5. Step 5: Solve for x
    x = 57,322,894,084/111,715
  6. Step 6: Final answer
    x = 513,117.25

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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.