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Finding the Third Proportional to 66,736 and 146,720

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Solution

The third proportional to 66,736 and 146,720 is: 322,565.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,736 : 146,720 = 146,720 : x
  2. Step 2: Convert to fraction form
    66,736/146,720 = 146,720/x
  3. Step 3: Cross multiply
    66,736x = 146,720 × 146,720
  4. Step 4: Simplify right side
    66,736x = 21,526,758,400
  5. Step 5: Solve for x
    x = 21,526,758,400/66,736
  6. Step 6: Final answer
    x = 322,565.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.