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Finding the Third Proportional to 149,922 and 322,078

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Solution

The third proportional to 149,922 and 322,078 is: 691,921.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,922 : 322,078 = 322,078 : x
  2. Step 2: Convert to fraction form
    149,922/322,078 = 322,078/x
  3. Step 3: Cross multiply
    149,922x = 322,078 × 322,078
  4. Step 4: Simplify right side
    149,922x = 103,734,238,084
  5. Step 5: Solve for x
    x = 103,734,238,084/149,922
  6. Step 6: Final answer
    x = 691,921.39

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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.