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Finding the Third Proportional to 75,636 and 161,208

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Solution

The third proportional to 75,636 and 161,208 is: 343,593.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,636 : 161,208 = 161,208 : x
  2. Step 2: Convert to fraction form
    75,636/161,208 = 161,208/x
  3. Step 3: Cross multiply
    75,636x = 161,208 × 161,208
  4. Step 4: Simplify right side
    75,636x = 25,988,019,264
  5. Step 5: Solve for x
    x = 25,988,019,264/75,636
  6. Step 6: Final answer
    x = 343,593.25

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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.