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Finding the Third Proportional to 79,492 and 171,172

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Solution

The third proportional to 79,492 and 171,172 is: 368,588.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,492 : 171,172 = 171,172 : x
  2. Step 2: Convert to fraction form
    79,492/171,172 = 171,172/x
  3. Step 3: Cross multiply
    79,492x = 171,172 × 171,172
  4. Step 4: Simplify right side
    79,492x = 29,299,853,584
  5. Step 5: Solve for x
    x = 29,299,853,584/79,492
  6. Step 6: Final answer
    x = 368,588.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.