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Finding the Third Proportional to 30,781 and 66,745

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Solution

The third proportional to 30,781 and 66,745 is: 144,728.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,781 : 66,745 = 66,745 : x
  2. Step 2: Convert to fraction form
    30,781/66,745 = 66,745/x
  3. Step 3: Cross multiply
    30,781x = 66,745 × 66,745
  4. Step 4: Simplify right side
    30,781x = 4,454,895,025
  5. Step 5: Solve for x
    x = 4,454,895,025/30,781
  6. Step 6: Final answer
    x = 144,728.73

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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.