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Finding the Third Proportional to 66,963 and 107,665

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Solution

The third proportional to 66,963 and 107,665 is: 173,106.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,963 : 107,665 = 107,665 : x
  2. Step 2: Convert to fraction form
    66,963/107,665 = 107,665/x
  3. Step 3: Cross multiply
    66,963x = 107,665 × 107,665
  4. Step 4: Simplify right side
    66,963x = 11,591,752,225
  5. Step 5: Solve for x
    x = 11,591,752,225/66,963
  6. Step 6: Final answer
    x = 173,106.82

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.