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Finding the Third Proportional to 30,675 and 66,189

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Solution

The third proportional to 30,675 and 66,189 is: 142,819.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,675 : 66,189 = 66,189 : x
  2. Step 2: Convert to fraction form
    30,675/66,189 = 66,189/x
  3. Step 3: Cross multiply
    30,675x = 66,189 × 66,189
  4. Step 4: Simplify right side
    30,675x = 4,380,983,721
  5. Step 5: Solve for x
    x = 4,380,983,721/30,675
  6. Step 6: Final answer
    x = 142,819.36

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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.