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Finding the Third Proportional to 109,872 and 239,328

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Solution

The third proportional to 109,872 and 239,328 is: 521,314.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,872 : 239,328 = 239,328 : x
  2. Step 2: Convert to fraction form
    109,872/239,328 = 239,328/x
  3. Step 3: Cross multiply
    109,872x = 239,328 × 239,328
  4. Step 4: Simplify right side
    109,872x = 57,277,891,584
  5. Step 5: Solve for x
    x = 57,277,891,584/109,872
  6. Step 6: Final answer
    x = 521,314.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.