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Finding the Third Proportional to 109,408 and 171,408

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Solution

The third proportional to 109,408 and 171,408 is: 268,542.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,408 : 171,408 = 171,408 : x
  2. Step 2: Convert to fraction form
    109,408/171,408 = 171,408/x
  3. Step 3: Cross multiply
    109,408x = 171,408 × 171,408
  4. Step 4: Simplify right side
    109,408x = 29,380,702,464
  5. Step 5: Solve for x
    x = 29,380,702,464/109,408
  6. Step 6: Final answer
    x = 268,542.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.