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Finding the Third Proportional to 81,517 and 171,897

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Solution

The third proportional to 81,517 and 171,897 is: 362,483.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,517 : 171,897 = 171,897 : x
  2. Step 2: Convert to fraction form
    81,517/171,897 = 171,897/x
  3. Step 3: Cross multiply
    81,517x = 171,897 × 171,897
  4. Step 4: Simplify right side
    81,517x = 29,548,578,609
  5. Step 5: Solve for x
    x = 29,548,578,609/81,517
  6. Step 6: Final answer
    x = 362,483.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.