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Finding the Third Proportional to 38,358 and 80,172

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Solution

The third proportional to 38,358 and 80,172 is: 167,567.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,358 : 80,172 = 80,172 : x
  2. Step 2: Convert to fraction form
    38,358/80,172 = 80,172/x
  3. Step 3: Cross multiply
    38,358x = 80,172 × 80,172
  4. Step 4: Simplify right side
    38,358x = 6,427,549,584
  5. Step 5: Solve for x
    x = 6,427,549,584/38,358
  6. Step 6: Final answer
    x = 167,567.38

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.