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Finding the Third Proportional to 141,015 and 309,939

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Solution

The third proportional to 141,015 and 309,939 is: 681,219.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,015 : 309,939 = 309,939 : x
  2. Step 2: Convert to fraction form
    141,015/309,939 = 309,939/x
  3. Step 3: Cross multiply
    141,015x = 309,939 × 309,939
  4. Step 4: Simplify right side
    141,015x = 96,062,183,721
  5. Step 5: Solve for x
    x = 96,062,183,721/141,015
  6. Step 6: Final answer
    x = 681,219.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.