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Finding the Third Proportional to 66,753 and 103,325

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Solution

The third proportional to 66,753 and 103,325 is: 159,933.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,753 : 103,325 = 103,325 : x
  2. Step 2: Convert to fraction form
    66,753/103,325 = 103,325/x
  3. Step 3: Cross multiply
    66,753x = 103,325 × 103,325
  4. Step 4: Simplify right side
    66,753x = 10,676,055,625
  5. Step 5: Solve for x
    x = 10,676,055,625/66,753
  6. Step 6: Final answer
    x = 159,933.72

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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.