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Finding the Third Proportional to 31,660 and 66,896

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Solution

The third proportional to 31,660 and 66,896 is: 141,347.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,660 : 66,896 = 66,896 : x
  2. Step 2: Convert to fraction form
    31,660/66,896 = 66,896/x
  3. Step 3: Cross multiply
    31,660x = 66,896 × 66,896
  4. Step 4: Simplify right side
    31,660x = 4,475,074,816
  5. Step 5: Solve for x
    x = 4,475,074,816/31,660
  6. Step 6: Final answer
    x = 141,347.91

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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.