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Finding the Third Proportional to 66,315 and 135,694

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Solution

The third proportional to 66,315 and 135,694 is: 277,657.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,315 : 135,694 = 135,694 : x
  2. Step 2: Convert to fraction form
    66,315/135,694 = 135,694/x
  3. Step 3: Cross multiply
    66,315x = 135,694 × 135,694
  4. Step 4: Simplify right side
    66,315x = 18,412,861,636
  5. Step 5: Solve for x
    x = 18,412,861,636/66,315
  6. Step 6: Final answer
    x = 277,657.57

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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.