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Finding the Third Proportional to 66,780 and 155,286

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Solution

The third proportional to 66,780 and 155,286 is: 361,092.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,780 : 155,286 = 155,286 : x
  2. Step 2: Convert to fraction form
    66,780/155,286 = 155,286/x
  3. Step 3: Cross multiply
    66,780x = 155,286 × 155,286
  4. Step 4: Simplify right side
    66,780x = 24,113,741,796
  5. Step 5: Solve for x
    x = 24,113,741,796/66,780
  6. Step 6: Final answer
    x = 361,092.27

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.