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Finding the Third Proportional to 81,408 and 121,956

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Solution

The third proportional to 81,408 and 121,956 is: 182,700.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,408 : 121,956 = 121,956 : x
  2. Step 2: Convert to fraction form
    81,408/121,956 = 121,956/x
  3. Step 3: Cross multiply
    81,408x = 121,956 × 121,956
  4. Step 4: Simplify right side
    81,408x = 14,873,265,936
  5. Step 5: Solve for x
    x = 14,873,265,936/81,408
  6. Step 6: Final answer
    x = 182,700.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.