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Finding the Third Proportional to 279,079 and 605,422

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Solution

The third proportional to 279,079 and 605,422 is: 1,313,376.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,079 : 605,422 = 605,422 : x
  2. Step 2: Convert to fraction form
    279,079/605,422 = 605,422/x
  3. Step 3: Cross multiply
    279,079x = 605,422 × 605,422
  4. Step 4: Simplify right side
    279,079x = 366,535,798,084
  5. Step 5: Solve for x
    x = 366,535,798,084/279,079
  6. Step 6: Final answer
    x = 1,313,376.49

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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.