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Finding the Third Proportional to 81,769.50 and 166,637.25

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Solution

The third proportional to 81,769.50 and 166,637.25 is: 339,588.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,769.50 : 166,637.25 = 166,637.25 : x
  2. Step 2: Convert to fraction form
    81,769.50/166,637.25 = 166,637.25/x
  3. Step 3: Cross multiply
    81,769.50x = 166,637.25 × 166,637.25
  4. Step 4: Simplify right side
    81,769.50x = 27,767,973,087.56
  5. Step 5: Solve for x
    x = 27,767,973,087.56/81,769.50
  6. Step 6: Final answer
    x = 339,588.39

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.