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Finding the Third Proportional to 259,756 and 558,356

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Solution

The third proportional to 259,756 and 558,356 is: 1,200,208.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,756 : 558,356 = 558,356 : x
  2. Step 2: Convert to fraction form
    259,756/558,356 = 558,356/x
  3. Step 3: Cross multiply
    259,756x = 558,356 × 558,356
  4. Step 4: Simplify right side
    259,756x = 311,761,422,736
  5. Step 5: Solve for x
    x = 311,761,422,736/259,756
  6. Step 6: Final answer
    x = 1,200,208.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.