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Finding the Third Proportional to 66,762 and 103,975

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Solution

The third proportional to 66,762 and 103,975 is: 161,930.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,762 : 103,975 = 103,975 : x
  2. Step 2: Convert to fraction form
    66,762/103,975 = 103,975/x
  3. Step 3: Cross multiply
    66,762x = 103,975 × 103,975
  4. Step 4: Simplify right side
    66,762x = 10,810,800,625
  5. Step 5: Solve for x
    x = 10,810,800,625/66,762
  6. Step 6: Final answer
    x = 161,930.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.