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Finding the Third Proportional to 74,714 and 161,872

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Solution

The third proportional to 74,714 and 161,872 is: 350,704.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,714 : 161,872 = 161,872 : x
  2. Step 2: Convert to fraction form
    74,714/161,872 = 161,872/x
  3. Step 3: Cross multiply
    74,714x = 161,872 × 161,872
  4. Step 4: Simplify right side
    74,714x = 26,202,544,384
  5. Step 5: Solve for x
    x = 26,202,544,384/74,714
  6. Step 6: Final answer
    x = 350,704.61

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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.