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Finding the Third Proportional to 70,704 and 102,249

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Solution

The third proportional to 70,704 and 102,249 is: 147,867.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,704 : 102,249 = 102,249 : x
  2. Step 2: Convert to fraction form
    70,704/102,249 = 102,249/x
  3. Step 3: Cross multiply
    70,704x = 102,249 × 102,249
  4. Step 4: Simplify right side
    70,704x = 10,454,858,001
  5. Step 5: Solve for x
    x = 10,454,858,001/70,704
  6. Step 6: Final answer
    x = 147,867.98

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.