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Finding the Third Proportional to 30,833 and 66,269

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Solution

The third proportional to 30,833 and 66,269 is: 142,431.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,833 : 66,269 = 66,269 : x
  2. Step 2: Convert to fraction form
    30,833/66,269 = 66,269/x
  3. Step 3: Cross multiply
    30,833x = 66,269 × 66,269
  4. Step 4: Simplify right side
    30,833x = 4,391,580,361
  5. Step 5: Solve for x
    x = 4,391,580,361/30,833
  6. Step 6: Final answer
    x = 142,431.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.