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Finding the Third Proportional to 43,634.53 and 66,720.80

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Solution

The third proportional to 43,634.53 and 66,720.80 is: 102,021.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,634.53 : 66,720.80 = 66,720.80 : x
  2. Step 2: Convert to fraction form
    43,634.53/66,720.80 = 66,720.80/x
  3. Step 3: Cross multiply
    43,634.53x = 66,720.80 × 66,720.80
  4. Step 4: Simplify right side
    43,634.53x = 4,451,664,735.64
  5. Step 5: Solve for x
    x = 4,451,664,735.64/43,634.53
  6. Step 6: Final answer
    x = 102,021.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.