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Finding the Third Proportional to 31,664 and 66,904

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Solution

The third proportional to 31,664 and 66,904 is: 141,363.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,664 : 66,904 = 66,904 : x
  2. Step 2: Convert to fraction form
    31,664/66,904 = 66,904/x
  3. Step 3: Cross multiply
    31,664x = 66,904 × 66,904
  4. Step 4: Simplify right side
    31,664x = 4,476,145,216
  5. Step 5: Solve for x
    x = 4,476,145,216/31,664
  6. Step 6: Final answer
    x = 141,363.86

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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.