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Finding the Third Proportional to 68,704 and 146,408

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Solution

The third proportional to 68,704 and 146,408 is: 311,994.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,704 : 146,408 = 146,408 : x
  2. Step 2: Convert to fraction form
    68,704/146,408 = 146,408/x
  3. Step 3: Cross multiply
    68,704x = 146,408 × 146,408
  4. Step 4: Simplify right side
    68,704x = 21,435,302,464
  5. Step 5: Solve for x
    x = 21,435,302,464/68,704
  6. Step 6: Final answer
    x = 311,994.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.