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Finding the Third Proportional to 85,405.50 and 181,899

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Solution

The third proportional to 85,405.50 and 181,899 is: 387,413.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,405.50 : 181,899 = 181,899 : x
  2. Step 2: Convert to fraction form
    85,405.50/181,899 = 181,899/x
  3. Step 3: Cross multiply
    85,405.50x = 181,899 × 181,899
  4. Step 4: Simplify right side
    85,405.50x = 33,087,246,201
  5. Step 5: Solve for x
    x = 33,087,246,201/85,405.50
  6. Step 6: Final answer
    x = 387,413.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.