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Finding the Third Proportional to 55,099 and 81,838

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Solution

The third proportional to 55,099 and 81,838 is: 121,553.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,099 : 81,838 = 81,838 : x
  2. Step 2: Convert to fraction form
    55,099/81,838 = 81,838/x
  3. Step 3: Cross multiply
    55,099x = 81,838 × 81,838
  4. Step 4: Simplify right side
    55,099x = 6,697,458,244
  5. Step 5: Solve for x
    x = 6,697,458,244/55,099
  6. Step 6: Final answer
    x = 121,553.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.