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Finding the Third Proportional to 30,665 and 66,250

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Solution

The third proportional to 30,665 and 66,250 is: 143,129.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,665 : 66,250 = 66,250 : x
  2. Step 2: Convert to fraction form
    30,665/66,250 = 66,250/x
  3. Step 3: Cross multiply
    30,665x = 66,250 × 66,250
  4. Step 4: Simplify right side
    30,665x = 4,389,062,500
  5. Step 5: Solve for x
    x = 4,389,062,500/30,665
  6. Step 6: Final answer
    x = 143,129.38

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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.