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Finding the Third Proportional to 42,636 and 66,884

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Solution

The third proportional to 42,636 and 66,884 is: 104,922.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,636 : 66,884 = 66,884 : x
  2. Step 2: Convert to fraction form
    42,636/66,884 = 66,884/x
  3. Step 3: Cross multiply
    42,636x = 66,884 × 66,884
  4. Step 4: Simplify right side
    42,636x = 4,473,469,456
  5. Step 5: Solve for x
    x = 4,473,469,456/42,636
  6. Step 6: Final answer
    x = 104,922.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.