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Finding the Third Proportional to 111,223 and 239,943

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Solution

The third proportional to 111,223 and 239,943 is: 517,632.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,223 : 239,943 = 239,943 : x
  2. Step 2: Convert to fraction form
    111,223/239,943 = 239,943/x
  3. Step 3: Cross multiply
    111,223x = 239,943 × 239,943
  4. Step 4: Simplify right side
    111,223x = 57,572,643,249
  5. Step 5: Solve for x
    x = 57,572,643,249/111,223
  6. Step 6: Final answer
    x = 517,632.53

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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.