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Finding the Third Proportional to 69,006.75 and 140,916

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Solution

The third proportional to 69,006.75 and 140,916 is: 287,759.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,006.75 : 140,916 = 140,916 : x
  2. Step 2: Convert to fraction form
    69,006.75/140,916 = 140,916/x
  3. Step 3: Cross multiply
    69,006.75x = 140,916 × 140,916
  4. Step 4: Simplify right side
    69,006.75x = 19,857,319,056
  5. Step 5: Solve for x
    x = 19,857,319,056/69,006.75
  6. Step 6: Final answer
    x = 287,759.08

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.