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Finding the Third Proportional to 70,558 and 146,867

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Solution

The third proportional to 70,558 and 146,867 is: 305,704.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,558 : 146,867 = 146,867 : x
  2. Step 2: Convert to fraction form
    70,558/146,867 = 146,867/x
  3. Step 3: Cross multiply
    70,558x = 146,867 × 146,867
  4. Step 4: Simplify right side
    70,558x = 21,569,915,689
  5. Step 5: Solve for x
    x = 21,569,915,689/70,558
  6. Step 6: Final answer
    x = 305,704.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.