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Finding the Third Proportional to 43,662 and 66,745

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Solution

The third proportional to 43,662 and 66,745 is: 102,031.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,662 : 66,745 = 66,745 : x
  2. Step 2: Convert to fraction form
    43,662/66,745 = 66,745/x
  3. Step 3: Cross multiply
    43,662x = 66,745 × 66,745
  4. Step 4: Simplify right side
    43,662x = 4,454,895,025
  5. Step 5: Solve for x
    x = 4,454,895,025/43,662
  6. Step 6: Final answer
    x = 102,031.40

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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.