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Finding the Third Proportional to 30,841 and 66,866

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Solution

The third proportional to 30,841 and 66,866 is: 144,971.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,841 : 66,866 = 66,866 : x
  2. Step 2: Convert to fraction form
    30,841/66,866 = 66,866/x
  3. Step 3: Cross multiply
    30,841x = 66,866 × 66,866
  4. Step 4: Simplify right side
    30,841x = 4,471,061,956
  5. Step 5: Solve for x
    x = 4,471,061,956/30,841
  6. Step 6: Final answer
    x = 144,971.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.