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Finding the Third Proportional to 43,221 and 66,676

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Solution

The third proportional to 43,221 and 66,676 is: 102,859.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,221 : 66,676 = 66,676 : x
  2. Step 2: Convert to fraction form
    43,221/66,676 = 66,676/x
  3. Step 3: Cross multiply
    43,221x = 66,676 × 66,676
  4. Step 4: Simplify right side
    43,221x = 4,445,688,976
  5. Step 5: Solve for x
    x = 4,445,688,976/43,221
  6. Step 6: Final answer
    x = 102,859.47

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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.