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Finding the Third Proportional to 66,996 and 103,689

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Solution

The third proportional to 66,996 and 103,689 is: 160,478.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,996 : 103,689 = 103,689 : x
  2. Step 2: Convert to fraction form
    66,996/103,689 = 103,689/x
  3. Step 3: Cross multiply
    66,996x = 103,689 × 103,689
  4. Step 4: Simplify right side
    66,996x = 10,751,408,721
  5. Step 5: Solve for x
    x = 10,751,408,721/66,996
  6. Step 6: Final answer
    x = 160,478.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.