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Finding the Third Proportional to 149,921 and 322,074

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Solution

The third proportional to 149,921 and 322,074 is: 691,908.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,921 : 322,074 = 322,074 : x
  2. Step 2: Convert to fraction form
    149,921/322,074 = 322,074/x
  3. Step 3: Cross multiply
    149,921x = 322,074 × 322,074
  4. Step 4: Simplify right side
    149,921x = 103,731,661,476
  5. Step 5: Solve for x
    x = 103,731,661,476/149,921
  6. Step 6: Final answer
    x = 691,908.82

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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.