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Finding the Third Proportional to 70,989 and 150,744

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Solution

The third proportional to 70,989 and 150,744 is: 320,102.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,989 : 150,744 = 150,744 : x
  2. Step 2: Convert to fraction form
    70,989/150,744 = 150,744/x
  3. Step 3: Cross multiply
    70,989x = 150,744 × 150,744
  4. Step 4: Simplify right side
    70,989x = 22,723,753,536
  5. Step 5: Solve for x
    x = 22,723,753,536/70,989
  6. Step 6: Final answer
    x = 320,102.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.