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Finding the Third Proportional to 66,930 and 107,631

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Solution

The third proportional to 66,930 and 107,631 is: 173,082.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,930 : 107,631 = 107,631 : x
  2. Step 2: Convert to fraction form
    66,930/107,631 = 107,631/x
  3. Step 3: Cross multiply
    66,930x = 107,631 × 107,631
  4. Step 4: Simplify right side
    66,930x = 11,584,432,161
  5. Step 5: Solve for x
    x = 11,584,432,161/66,930
  6. Step 6: Final answer
    x = 173,082.81

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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.