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Finding the Third Proportional to 66,768 and 135,380

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Solution

The third proportional to 66,768 and 135,380 is: 274,498.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,768 : 135,380 = 135,380 : x
  2. Step 2: Convert to fraction form
    66,768/135,380 = 135,380/x
  3. Step 3: Cross multiply
    66,768x = 135,380 × 135,380
  4. Step 4: Simplify right side
    66,768x = 18,327,744,400
  5. Step 5: Solve for x
    x = 18,327,744,400/66,768
  6. Step 6: Final answer
    x = 274,498.93

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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.