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Finding the Third Proportional to 66,772 and 135,388

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Solution

The third proportional to 66,772 and 135,388 is: 274,514.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,772 : 135,388 = 135,388 : x
  2. Step 2: Convert to fraction form
    66,772/135,388 = 135,388/x
  3. Step 3: Cross multiply
    66,772x = 135,388 × 135,388
  4. Step 4: Simplify right side
    66,772x = 18,329,910,544
  5. Step 5: Solve for x
    x = 18,329,910,544/66,772
  6. Step 6: Final answer
    x = 274,514.92

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.