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Finding the Third Proportional to 14,155 and 30,771

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Solution

The third proportional to 14,155 and 30,771 is: 66,891.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,155 : 30,771 = 30,771 : x
  2. Step 2: Convert to fraction form
    14,155/30,771 = 30,771/x
  3. Step 3: Cross multiply
    14,155x = 30,771 × 30,771
  4. Step 4: Simplify right side
    14,155x = 946,854,441
  5. Step 5: Solve for x
    x = 946,854,441/14,155
  6. Step 6: Final answer
    x = 66,891.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.