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Finding the Third Proportional to 20,205 and 27,179

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Solution

The third proportional to 20,205 and 27,179 is: 36,560.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,205 : 27,179 = 27,179 : x
  2. Step 2: Convert to fraction form
    20,205/27,179 = 27,179/x
  3. Step 3: Cross multiply
    20,205x = 27,179 × 27,179
  4. Step 4: Simplify right side
    20,205x = 738,698,041
  5. Step 5: Solve for x
    x = 738,698,041/20,205
  6. Step 6: Final answer
    x = 36,560.16

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.