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Finding the Third Proportional to 30,686 and 66,213

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Solution

The third proportional to 30,686 and 66,213 is: 142,871.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,686 : 66,213 = 66,213 : x
  2. Step 2: Convert to fraction form
    30,686/66,213 = 66,213/x
  3. Step 3: Cross multiply
    30,686x = 66,213 × 66,213
  4. Step 4: Simplify right side
    30,686x = 4,384,161,369
  5. Step 5: Solve for x
    x = 4,384,161,369/30,686
  6. Step 6: Final answer
    x = 142,871.71

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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.