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Finding the Third Proportional to 66,764 and 135,372

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Solution

The third proportional to 66,764 and 135,372 is: 274,482.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,764 : 135,372 = 135,372 : x
  2. Step 2: Convert to fraction form
    66,764/135,372 = 135,372/x
  3. Step 3: Cross multiply
    66,764x = 135,372 × 135,372
  4. Step 4: Simplify right side
    66,764x = 18,325,578,384
  5. Step 5: Solve for x
    x = 18,325,578,384/66,764
  6. Step 6: Final answer
    x = 274,482.93

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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.