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Finding the Third Proportional to 15,163 and 31,081

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Solution

The third proportional to 15,163 and 31,081 is: 63,709.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,163 : 31,081 = 31,081 : x
  2. Step 2: Convert to fraction form
    15,163/31,081 = 31,081/x
  3. Step 3: Cross multiply
    15,163x = 31,081 × 31,081
  4. Step 4: Simplify right side
    15,163x = 966,028,561
  5. Step 5: Solve for x
    x = 966,028,561/15,163
  6. Step 6: Final answer
    x = 63,709.59

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.