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Finding the Third Proportional to 31,012 and 66,668

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Solution

The third proportional to 31,012 and 66,668 is: 143,319.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,012 : 66,668 = 66,668 : x
  2. Step 2: Convert to fraction form
    31,012/66,668 = 66,668/x
  3. Step 3: Cross multiply
    31,012x = 66,668 × 66,668
  4. Step 4: Simplify right side
    31,012x = 4,444,622,224
  5. Step 5: Solve for x
    x = 4,444,622,224/31,012
  6. Step 6: Final answer
    x = 143,319.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.