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Finding the Third Proportional to 30,633 and 66,126

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Solution

The third proportional to 30,633 and 66,126 is: 142,743.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,633 : 66,126 = 66,126 : x
  2. Step 2: Convert to fraction form
    30,633/66,126 = 66,126/x
  3. Step 3: Cross multiply
    30,633x = 66,126 × 66,126
  4. Step 4: Simplify right side
    30,633x = 4,372,647,876
  5. Step 5: Solve for x
    x = 4,372,647,876/30,633
  6. Step 6: Final answer
    x = 142,743.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.