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Finding the Third Proportional to 43,206 and 66,649

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Solution

The third proportional to 43,206 and 66,649 is: 102,811.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,206 : 66,649 = 66,649 : x
  2. Step 2: Convert to fraction form
    43,206/66,649 = 66,649/x
  3. Step 3: Cross multiply
    43,206x = 66,649 × 66,649
  4. Step 4: Simplify right side
    43,206x = 4,442,089,201
  5. Step 5: Solve for x
    x = 4,442,089,201/43,206
  6. Step 6: Final answer
    x = 102,811.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.