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Finding the Third Proportional to 79,311 and 171,689

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Solution

The third proportional to 79,311 and 171,689 is: 371,664.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,311 : 171,689 = 171,689 : x
  2. Step 2: Convert to fraction form
    79,311/171,689 = 171,689/x
  3. Step 3: Cross multiply
    79,311x = 171,689 × 171,689
  4. Step 4: Simplify right side
    79,311x = 29,477,112,721
  5. Step 5: Solve for x
    x = 29,477,112,721/79,311
  6. Step 6: Final answer
    x = 371,664.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.