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Finding the Third Proportional to 141,917 and 311,050

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Solution

The third proportional to 141,917 and 311,050 is: 681,751.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,917 : 311,050 = 311,050 : x
  2. Step 2: Convert to fraction form
    141,917/311,050 = 311,050/x
  3. Step 3: Cross multiply
    141,917x = 311,050 × 311,050
  4. Step 4: Simplify right side
    141,917x = 96,752,102,500
  5. Step 5: Solve for x
    x = 96,752,102,500/141,917
  6. Step 6: Final answer
    x = 681,751.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.