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Finding the Third Proportional to 31,166 and 66,704

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Solution

The third proportional to 31,166 and 66,704 is: 142,765.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,166 : 66,704 = 66,704 : x
  2. Step 2: Convert to fraction form
    31,166/66,704 = 66,704/x
  3. Step 3: Cross multiply
    31,166x = 66,704 × 66,704
  4. Step 4: Simplify right side
    31,166x = 4,449,423,616
  5. Step 5: Solve for x
    x = 4,449,423,616/31,166
  6. Step 6: Final answer
    x = 142,765.31

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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.