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Finding the Third Proportional to 66,757 and 103,965

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Solution

The third proportional to 66,757 and 103,965 is: 161,911.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,757 : 103,965 = 103,965 : x
  2. Step 2: Convert to fraction form
    66,757/103,965 = 103,965/x
  3. Step 3: Cross multiply
    66,757x = 103,965 × 103,965
  4. Step 4: Simplify right side
    66,757x = 10,808,721,225
  5. Step 5: Solve for x
    x = 10,808,721,225/66,757
  6. Step 6: Final answer
    x = 161,911.43

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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.