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Finding the Third Proportional to 82,344 and 192,408

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Solution

The third proportional to 82,344 and 192,408 is: 449,587.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,344 : 192,408 = 192,408 : x
  2. Step 2: Convert to fraction form
    82,344/192,408 = 192,408/x
  3. Step 3: Cross multiply
    82,344x = 192,408 × 192,408
  4. Step 4: Simplify right side
    82,344x = 37,020,838,464
  5. Step 5: Solve for x
    x = 37,020,838,464/82,344
  6. Step 6: Final answer
    x = 449,587.57

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.