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Finding the Third Proportional to 149,629 and 322,997

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Solution

The third proportional to 149,629 and 322,997 is: 697,238.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,629 : 322,997 = 322,997 : x
  2. Step 2: Convert to fraction form
    149,629/322,997 = 322,997/x
  3. Step 3: Cross multiply
    149,629x = 322,997 × 322,997
  4. Step 4: Simplify right side
    149,629x = 104,327,062,009
  5. Step 5: Solve for x
    x = 104,327,062,009/149,629
  6. Step 6: Final answer
    x = 697,238.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.