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Finding the Third Proportional to 31,666 and 66,892

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Solution

The third proportional to 31,666 and 66,892 is: 141,304.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,666 : 66,892 = 66,892 : x
  2. Step 2: Convert to fraction form
    31,666/66,892 = 66,892/x
  3. Step 3: Cross multiply
    31,666x = 66,892 × 66,892
  4. Step 4: Simplify right side
    31,666x = 4,474,539,664
  5. Step 5: Solve for x
    x = 4,474,539,664/31,666
  6. Step 6: Final answer
    x = 141,304.23

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.