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Finding the Third Proportional to 66,314 and 135,692

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Solution

The third proportional to 66,314 and 135,692 is: 277,653.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,314 : 135,692 = 135,692 : x
  2. Step 2: Convert to fraction form
    66,314/135,692 = 135,692/x
  3. Step 3: Cross multiply
    66,314x = 135,692 × 135,692
  4. Step 4: Simplify right side
    66,314x = 18,412,318,864
  5. Step 5: Solve for x
    x = 18,412,318,864/66,314
  6. Step 6: Final answer
    x = 277,653.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.