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Finding the Third Proportional to 81,100 and 177,989

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Solution

The third proportional to 81,100 and 177,989 is: 390,629.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,100 : 177,989 = 177,989 : x
  2. Step 2: Convert to fraction form
    81,100/177,989 = 177,989/x
  3. Step 3: Cross multiply
    81,100x = 177,989 × 177,989
  4. Step 4: Simplify right side
    81,100x = 31,680,084,121
  5. Step 5: Solve for x
    x = 31,680,084,121/81,100
  6. Step 6: Final answer
    x = 390,629.89

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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.