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Finding the Third Proportional to 81,408 and 166,848

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Solution

The third proportional to 81,408 and 166,848 is: 341,959.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,408 : 166,848 = 166,848 : x
  2. Step 2: Convert to fraction form
    81,408/166,848 = 166,848/x
  3. Step 3: Cross multiply
    81,408x = 166,848 × 166,848
  4. Step 4: Simplify right side
    81,408x = 27,838,255,104
  5. Step 5: Solve for x
    x = 27,838,255,104/81,408
  6. Step 6: Final answer
    x = 341,959.70

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.