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Finding the Third Proportional to 74,445 and 161,191

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Solution

The third proportional to 74,445 and 161,191 is: 349,016.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,445 : 161,191 = 161,191 : x
  2. Step 2: Convert to fraction form
    74,445/161,191 = 161,191/x
  3. Step 3: Cross multiply
    74,445x = 161,191 × 161,191
  4. Step 4: Simplify right side
    74,445x = 25,982,538,481
  5. Step 5: Solve for x
    x = 25,982,538,481/74,445
  6. Step 6: Final answer
    x = 349,016.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.