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Finding the Third Proportional to 70,991 and 156,744

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Solution

The third proportional to 70,991 and 156,744 is: 346,081.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,991 : 156,744 = 156,744 : x
  2. Step 2: Convert to fraction form
    70,991/156,744 = 156,744/x
  3. Step 3: Cross multiply
    70,991x = 156,744 × 156,744
  4. Step 4: Simplify right side
    70,991x = 24,568,681,536
  5. Step 5: Solve for x
    x = 24,568,681,536/70,991
  6. Step 6: Final answer
    x = 346,081.64

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.