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Finding the Third Proportional to 42,638 and 66,736

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Solution

The third proportional to 42,638 and 66,736 is: 104,453.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,638 : 66,736 = 66,736 : x
  2. Step 2: Convert to fraction form
    42,638/66,736 = 66,736/x
  3. Step 3: Cross multiply
    42,638x = 66,736 × 66,736
  4. Step 4: Simplify right side
    42,638x = 4,453,693,696
  5. Step 5: Solve for x
    x = 4,453,693,696/42,638
  6. Step 6: Final answer
    x = 104,453.63

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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.