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Finding the Third Proportional to 43,211 and 66,659

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Solution

The third proportional to 43,211 and 66,659 is: 102,830.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,211 : 66,659 = 66,659 : x
  2. Step 2: Convert to fraction form
    43,211/66,659 = 66,659/x
  3. Step 3: Cross multiply
    43,211x = 66,659 × 66,659
  4. Step 4: Simplify right side
    43,211x = 4,443,422,281
  5. Step 5: Solve for x
    x = 4,443,422,281/43,211
  6. Step 6: Final answer
    x = 102,830.81

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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.