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Finding the Third Proportional to 55,629 and 119,997

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Solution

The third proportional to 55,629 and 119,997 is: 258,844.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,629 : 119,997 = 119,997 : x
  2. Step 2: Convert to fraction form
    55,629/119,997 = 119,997/x
  3. Step 3: Cross multiply
    55,629x = 119,997 × 119,997
  4. Step 4: Simplify right side
    55,629x = 14,399,280,009
  5. Step 5: Solve for x
    x = 14,399,280,009/55,629
  6. Step 6: Final answer
    x = 258,844.85

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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.