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Finding the Third Proportional to 149,899 and 321,119

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Solution

The third proportional to 149,899 and 321,119 is: 687,912.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,899 : 321,119 = 321,119 : x
  2. Step 2: Convert to fraction form
    149,899/321,119 = 321,119/x
  3. Step 3: Cross multiply
    149,899x = 321,119 × 321,119
  4. Step 4: Simplify right side
    149,899x = 103,117,412,161
  5. Step 5: Solve for x
    x = 103,117,412,161/149,899
  6. Step 6: Final answer
    x = 687,912.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.