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Finding the Third Proportional to 279,180 and 613,656

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Solution

The third proportional to 279,180 and 613,656 is: 1,348,856.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,180 : 613,656 = 613,656 : x
  2. Step 2: Convert to fraction form
    279,180/613,656 = 613,656/x
  3. Step 3: Cross multiply
    279,180x = 613,656 × 613,656
  4. Step 4: Simplify right side
    279,180x = 376,573,686,336
  5. Step 5: Solve for x
    x = 376,573,686,336/279,180
  6. Step 6: Final answer
    x = 1,348,856.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.