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Finding the Third Proportional to 74,135.25 and 161,691.19

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Solution

The third proportional to 74,135.25 and 161,691.19 is: 352,653.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,135.25 : 161,691.19 = 161,691.19 : x
  2. Step 2: Convert to fraction form
    74,135.25/161,691.19 = 161,691.19/x
  3. Step 3: Cross multiply
    74,135.25x = 161,691.19 × 161,691.19
  4. Step 4: Simplify right side
    74,135.25x = 26,144,040,115.16
  5. Step 5: Solve for x
    x = 26,144,040,115.16/74,135.25
  6. Step 6: Final answer
    x = 352,653.29

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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.