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Finding the Third Proportional to 43,742 and 66,221

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Solution

The third proportional to 43,742 and 66,221 is: 100,251.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,742 : 66,221 = 66,221 : x
  2. Step 2: Convert to fraction form
    43,742/66,221 = 66,221/x
  3. Step 3: Cross multiply
    43,742x = 66,221 × 66,221
  4. Step 4: Simplify right side
    43,742x = 4,385,220,841
  5. Step 5: Solve for x
    x = 4,385,220,841/43,742
  6. Step 6: Final answer
    x = 100,251.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.