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Finding the Third Proportional to 30,781 and 66,159

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Solution

The third proportional to 30,781 and 66,159 is: 142,198.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,781 : 66,159 = 66,159 : x
  2. Step 2: Convert to fraction form
    30,781/66,159 = 66,159/x
  3. Step 3: Cross multiply
    30,781x = 66,159 × 66,159
  4. Step 4: Simplify right side
    30,781x = 4,377,013,281
  5. Step 5: Solve for x
    x = 4,377,013,281/30,781
  6. Step 6: Final answer
    x = 142,198.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.