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Finding the Third Proportional to 139,745.25 and 217,920.38

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Solution

The third proportional to 139,745.25 and 217,920.38 is: 339,827.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,745.25 : 217,920.38 = 217,920.38 : x
  2. Step 2: Convert to fraction form
    139,745.25/217,920.38 = 217,920.38/x
  3. Step 3: Cross multiply
    139,745.25x = 217,920.38 × 217,920.38
  4. Step 4: Simplify right side
    139,745.25x = 47,489,289,840.14
  5. Step 5: Solve for x
    x = 47,489,289,840.14/139,745.25
  6. Step 6: Final answer
    x = 339,827.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.