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Finding the Third Proportional to 181,561.50 and 279,998.25

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Solution

The third proportional to 181,561.50 and 279,998.25 is: 431,804.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,561.50 : 279,998.25 = 279,998.25 : x
  2. Step 2: Convert to fraction form
    181,561.50/279,998.25 = 279,998.25/x
  3. Step 3: Cross multiply
    181,561.50x = 279,998.25 × 279,998.25
  4. Step 4: Simplify right side
    181,561.50x = 78,399,020,003.06
  5. Step 5: Solve for x
    x = 78,399,020,003.06/181,561.50
  6. Step 6: Final answer
    x = 431,804.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.