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Finding the Third Proportional to 20,173 and 54,199

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Solution

The third proportional to 20,173 and 54,199 is: 145,616.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,173 : 54,199 = 54,199 : x
  2. Step 2: Convert to fraction form
    20,173/54,199 = 54,199/x
  3. Step 3: Cross multiply
    20,173x = 54,199 × 54,199
  4. Step 4: Simplify right side
    20,173x = 2,937,531,601
  5. Step 5: Solve for x
    x = 2,937,531,601/20,173
  6. Step 6: Final answer
    x = 145,616.99

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.