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Finding the Third Proportional to 30,909 and 66,201

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Solution

The third proportional to 30,909 and 66,201 is: 141,789.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,909 : 66,201 = 66,201 : x
  2. Step 2: Convert to fraction form
    30,909/66,201 = 66,201/x
  3. Step 3: Cross multiply
    30,909x = 66,201 × 66,201
  4. Step 4: Simplify right side
    30,909x = 4,382,572,401
  5. Step 5: Solve for x
    x = 4,382,572,401/30,909
  6. Step 6: Final answer
    x = 141,789.52

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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.