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Finding the Third Proportional to 171,999 and 252,942.75

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Solution

The third proportional to 171,999 and 252,942.75 is: 371,979.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,999 : 252,942.75 = 252,942.75 : x
  2. Step 2: Convert to fraction form
    171,999/252,942.75 = 252,942.75/x
  3. Step 3: Cross multiply
    171,999x = 252,942.75 × 252,942.75
  4. Step 4: Simplify right side
    171,999x = 63,980,034,777.56
  5. Step 5: Solve for x
    x = 63,980,034,777.56/171,999
  6. Step 6: Final answer
    x = 371,979.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.