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Finding the Third Proportional to 81,229.03 and 181,135.03

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Solution

The third proportional to 81,229.03 and 181,135.03 is: 403,918.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,229.03 : 181,135.03 = 181,135.03 : x
  2. Step 2: Convert to fraction form
    81,229.03/181,135.03 = 181,135.03/x
  3. Step 3: Cross multiply
    81,229.03x = 181,135.03 × 181,135.03
  4. Step 4: Simplify right side
    81,229.03x = 32,809,899,545.94
  5. Step 5: Solve for x
    x = 32,809,899,545.94/81,229.03
  6. Step 6: Final answer
    x = 403,918.39

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.