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Finding the Third Proportional to 31,990 and 66,029

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Solution

The third proportional to 31,990 and 66,029 is: 136,287.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,990 : 66,029 = 66,029 : x
  2. Step 2: Convert to fraction form
    31,990/66,029 = 66,029/x
  3. Step 3: Cross multiply
    31,990x = 66,029 × 66,029
  4. Step 4: Simplify right side
    31,990x = 4,359,828,841
  5. Step 5: Solve for x
    x = 4,359,828,841/31,990
  6. Step 6: Final answer
    x = 136,287.24

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.