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Finding the Third Proportional to 66,105 and 106,416

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Solution

The third proportional to 66,105 and 106,416 is: 171,308.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,105 : 106,416 = 106,416 : x
  2. Step 2: Convert to fraction form
    66,105/106,416 = 106,416/x
  3. Step 3: Cross multiply
    66,105x = 106,416 × 106,416
  4. Step 4: Simplify right side
    66,105x = 11,324,365,056
  5. Step 5: Solve for x
    x = 11,324,365,056/66,105
  6. Step 6: Final answer
    x = 171,308.75

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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.