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Finding the Third Proportional to 74,228 and 161,779

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Solution

The third proportional to 74,228 and 161,779 is: 352,595.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,228 : 161,779 = 161,779 : x
  2. Step 2: Convert to fraction form
    74,228/161,779 = 161,779/x
  3. Step 3: Cross multiply
    74,228x = 161,779 × 161,779
  4. Step 4: Simplify right side
    74,228x = 26,172,444,841
  5. Step 5: Solve for x
    x = 26,172,444,841/74,228
  6. Step 6: Final answer
    x = 352,595.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.