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Finding the Third Proportional to 144,622 and 313,846

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Solution

The third proportional to 144,622 and 313,846 is: 681,081.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,622 : 313,846 = 313,846 : x
  2. Step 2: Convert to fraction form
    144,622/313,846 = 313,846/x
  3. Step 3: Cross multiply
    144,622x = 313,846 × 313,846
  4. Step 4: Simplify right side
    144,622x = 98,499,311,716
  5. Step 5: Solve for x
    x = 98,499,311,716/144,622
  6. Step 6: Final answer
    x = 681,081.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.