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Finding the Third Proportional to 31,183 and 66,797

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Solution

The third proportional to 31,183 and 66,797 is: 143,085.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,183 : 66,797 = 66,797 : x
  2. Step 2: Convert to fraction form
    31,183/66,797 = 66,797/x
  3. Step 3: Cross multiply
    31,183x = 66,797 × 66,797
  4. Step 4: Simplify right side
    31,183x = 4,461,839,209
  5. Step 5: Solve for x
    x = 4,461,839,209/31,183
  6. Step 6: Final answer
    x = 143,085.63

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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.