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Finding the Third Proportional to 81,011 and 177,954

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Solution

The third proportional to 81,011 and 177,954 is: 390,905.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,011 : 177,954 = 177,954 : x
  2. Step 2: Convert to fraction form
    81,011/177,954 = 177,954/x
  3. Step 3: Cross multiply
    81,011x = 177,954 × 177,954
  4. Step 4: Simplify right side
    81,011x = 31,667,626,116
  5. Step 5: Solve for x
    x = 31,667,626,116/81,011
  6. Step 6: Final answer
    x = 390,905.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.