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Finding the Third Proportional to 72,189 and 173,907

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Solution

The third proportional to 72,189 and 173,907 is: 418,950.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,189 : 173,907 = 173,907 : x
  2. Step 2: Convert to fraction form
    72,189/173,907 = 173,907/x
  3. Step 3: Cross multiply
    72,189x = 173,907 × 173,907
  4. Step 4: Simplify right side
    72,189x = 30,243,644,649
  5. Step 5: Solve for x
    x = 30,243,644,649/72,189
  6. Step 6: Final answer
    x = 418,950.87

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.