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Finding the Third Proportional to 66,099 and 106,407

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Solution

The third proportional to 66,099 and 106,407 is: 171,295.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,099 : 106,407 = 106,407 : x
  2. Step 2: Convert to fraction form
    66,099/106,407 = 106,407/x
  3. Step 3: Cross multiply
    66,099x = 106,407 × 106,407
  4. Step 4: Simplify right side
    66,099x = 11,322,449,649
  5. Step 5: Solve for x
    x = 11,322,449,649/66,099
  6. Step 6: Final answer
    x = 171,295.32

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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.