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Finding the Third Proportional to 144,619 and 313,372

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Solution

The third proportional to 144,619 and 313,372 is: 679,039.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,619 : 313,372 = 313,372 : x
  2. Step 2: Convert to fraction form
    144,619/313,372 = 313,372/x
  3. Step 3: Cross multiply
    144,619x = 313,372 × 313,372
  4. Step 4: Simplify right side
    144,619x = 98,202,010,384
  5. Step 5: Solve for x
    x = 98,202,010,384/144,619
  6. Step 6: Final answer
    x = 679,039.48

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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.