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Finding the Third Proportional to 149,719 and 218,994

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Solution

The third proportional to 149,719 and 218,994 is: 320,322.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,719 : 218,994 = 218,994 : x
  2. Step 2: Convert to fraction form
    149,719/218,994 = 218,994/x
  3. Step 3: Cross multiply
    149,719x = 218,994 × 218,994
  4. Step 4: Simplify right side
    149,719x = 47,958,372,036
  5. Step 5: Solve for x
    x = 47,958,372,036/149,719
  6. Step 6: Final answer
    x = 320,322.55

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.