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Finding the Third Proportional to 66,982 and 145,616

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Solution

The third proportional to 66,982 and 145,616 is: 316,562.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,982 : 145,616 = 145,616 : x
  2. Step 2: Convert to fraction form
    66,982/145,616 = 145,616/x
  3. Step 3: Cross multiply
    66,982x = 145,616 × 145,616
  4. Step 4: Simplify right side
    66,982x = 21,204,019,456
  5. Step 5: Solve for x
    x = 21,204,019,456/66,982
  6. Step 6: Final answer
    x = 316,562.95

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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.