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Finding the Third Proportional to 81,010.13 and 164,338.88

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Solution

The third proportional to 81,010.13 and 164,338.88 is: 333,381.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,010.13 : 164,338.88 = 164,338.88 : x
  2. Step 2: Convert to fraction form
    81,010.13/164,338.88 = 164,338.88/x
  3. Step 3: Cross multiply
    81,010.13x = 164,338.88 × 164,338.88
  4. Step 4: Simplify right side
    81,010.13x = 27,007,265,836.27
  5. Step 5: Solve for x
    x = 27,007,265,836.27/81,010.13
  6. Step 6: Final answer
    x = 333,381.36

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.