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Finding the Third Proportional to 31,642 and 66,768

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Solution

The third proportional to 31,642 and 66,768 is: 140,887.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,642 : 66,768 = 66,768 : x
  2. Step 2: Convert to fraction form
    31,642/66,768 = 66,768/x
  3. Step 3: Cross multiply
    31,642x = 66,768 × 66,768
  4. Step 4: Simplify right side
    31,642x = 4,457,965,824
  5. Step 5: Solve for x
    x = 4,457,965,824/31,642
  6. Step 6: Final answer
    x = 140,887.61

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.