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Finding the Third Proportional to 30,982 and 66,932

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Solution

The third proportional to 30,982 and 66,932 is: 144,596.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,982 : 66,932 = 66,932 : x
  2. Step 2: Convert to fraction form
    30,982/66,932 = 66,932/x
  3. Step 3: Cross multiply
    30,982x = 66,932 × 66,932
  4. Step 4: Simplify right side
    30,982x = 4,479,892,624
  5. Step 5: Solve for x
    x = 4,479,892,624/30,982
  6. Step 6: Final answer
    x = 144,596.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.