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Finding the Third Proportional to 109,483 and 239,286

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Solution

The third proportional to 109,483 and 239,286 is: 522,983.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,483 : 239,286 = 239,286 : x
  2. Step 2: Convert to fraction form
    109,483/239,286 = 239,286/x
  3. Step 3: Cross multiply
    109,483x = 239,286 × 239,286
  4. Step 4: Simplify right side
    109,483x = 57,257,789,796
  5. Step 5: Solve for x
    x = 57,257,789,796/109,483
  6. Step 6: Final answer
    x = 522,983.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.