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Finding the Third Proportional to 74,239.50 and 161,879.25

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Solution

The third proportional to 74,239.50 and 161,879.25 is: 352,977.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,239.50 : 161,879.25 = 161,879.25 : x
  2. Step 2: Convert to fraction form
    74,239.50/161,879.25 = 161,879.25/x
  3. Step 3: Cross multiply
    74,239.50x = 161,879.25 × 161,879.25
  4. Step 4: Simplify right side
    74,239.50x = 26,204,891,580.56
  5. Step 5: Solve for x
    x = 26,204,891,580.56/74,239.50
  6. Step 6: Final answer
    x = 352,977.75

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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.