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Finding the Third Proportional to 30,766 and 66,869

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Solution

The third proportional to 30,766 and 66,869 is: 145,337.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,766 : 66,869 = 66,869 : x
  2. Step 2: Convert to fraction form
    30,766/66,869 = 66,869/x
  3. Step 3: Cross multiply
    30,766x = 66,869 × 66,869
  4. Step 4: Simplify right side
    30,766x = 4,471,463,161
  5. Step 5: Solve for x
    x = 4,471,463,161/30,766
  6. Step 6: Final answer
    x = 145,337.81

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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.