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Finding the Third Proportional to 144,891 and 313,899

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Solution

The third proportional to 144,891 and 313,899 is: 680,046.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,891 : 313,899 = 313,899 : x
  2. Step 2: Convert to fraction form
    144,891/313,899 = 313,899/x
  3. Step 3: Cross multiply
    144,891x = 313,899 × 313,899
  4. Step 4: Simplify right side
    144,891x = 98,532,582,201
  5. Step 5: Solve for x
    x = 98,532,582,201/144,891
  6. Step 6: Final answer
    x = 680,046.26

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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.