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Finding the Third Proportional to 149,844 and 321,720

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Solution

The third proportional to 149,844 and 321,720 is: 690,743.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,844 : 321,720 = 321,720 : x
  2. Step 2: Convert to fraction form
    149,844/321,720 = 321,720/x
  3. Step 3: Cross multiply
    149,844x = 321,720 × 321,720
  4. Step 4: Simplify right side
    149,844x = 103,503,758,400
  5. Step 5: Solve for x
    x = 103,503,758,400/149,844
  6. Step 6: Final answer
    x = 690,743.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.