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Finding the Third Proportional to 81,102 and 177,993

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Solution

The third proportional to 81,102 and 177,993 is: 390,637.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,102 : 177,993 = 177,993 : x
  2. Step 2: Convert to fraction form
    81,102/177,993 = 177,993/x
  3. Step 3: Cross multiply
    81,102x = 177,993 × 177,993
  4. Step 4: Simplify right side
    81,102x = 31,681,508,049
  5. Step 5: Solve for x
    x = 31,681,508,049/81,102
  6. Step 6: Final answer
    x = 390,637.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.