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Finding the Third Proportional to 289,180 and 613,351

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Solution

The third proportional to 289,180 and 613,351 is: 1,300,917.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,180 : 613,351 = 613,351 : x
  2. Step 2: Convert to fraction form
    289,180/613,351 = 613,351/x
  3. Step 3: Cross multiply
    289,180x = 613,351 × 613,351
  4. Step 4: Simplify right side
    289,180x = 376,199,449,201
  5. Step 5: Solve for x
    x = 376,199,449,201/289,180
  6. Step 6: Final answer
    x = 1,300,917.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.