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Finding the Third Proportional to 69,489 and 149,994

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Solution

The third proportional to 69,489 and 149,994 is: 323,766.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,489 : 149,994 = 149,994 : x
  2. Step 2: Convert to fraction form
    69,489/149,994 = 149,994/x
  3. Step 3: Cross multiply
    69,489x = 149,994 × 149,994
  4. Step 4: Simplify right side
    69,489x = 22,498,200,036
  5. Step 5: Solve for x
    x = 22,498,200,036/69,489
  6. Step 6: Final answer
    x = 323,766.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.