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Finding the Third Proportional to 100,678 and 159,945

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Solution

The third proportional to 100,678 and 159,945 is: 254,101.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,678 : 159,945 = 159,945 : x
  2. Step 2: Convert to fraction form
    100,678/159,945 = 159,945/x
  3. Step 3: Cross multiply
    100,678x = 159,945 × 159,945
  4. Step 4: Simplify right side
    100,678x = 25,582,403,025
  5. Step 5: Solve for x
    x = 25,582,403,025/100,678
  6. Step 6: Final answer
    x = 254,101.22

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.