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Finding the Third Proportional to 30,920 and 66,212

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Solution

The third proportional to 30,920 and 66,212 is: 141,786.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,920 : 66,212 = 66,212 : x
  2. Step 2: Convert to fraction form
    30,920/66,212 = 66,212/x
  3. Step 3: Cross multiply
    30,920x = 66,212 × 66,212
  4. Step 4: Simplify right side
    30,920x = 4,384,028,944
  5. Step 5: Solve for x
    x = 4,384,028,944/30,920
  6. Step 6: Final answer
    x = 141,786.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.