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Finding the Third Proportional to 75,638 and 161,212

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Solution

The third proportional to 75,638 and 161,212 is: 343,601.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,638 : 161,212 = 161,212 : x
  2. Step 2: Convert to fraction form
    75,638/161,212 = 161,212/x
  3. Step 3: Cross multiply
    75,638x = 161,212 × 161,212
  4. Step 4: Simplify right side
    75,638x = 25,989,308,944
  5. Step 5: Solve for x
    x = 25,989,308,944/75,638
  6. Step 6: Final answer
    x = 343,601.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.