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Finding the Third Proportional to 68,760 and 106,404

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Solution

The third proportional to 68,760 and 106,404 is: 164,656.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,760 : 106,404 = 106,404 : x
  2. Step 2: Convert to fraction form
    68,760/106,404 = 106,404/x
  3. Step 3: Cross multiply
    68,760x = 106,404 × 106,404
  4. Step 4: Simplify right side
    68,760x = 11,321,811,216
  5. Step 5: Solve for x
    x = 11,321,811,216/68,760
  6. Step 6: Final answer
    x = 164,656.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.