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Finding the Third Proportional to 259,940.25 and 558,558

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Solution

The third proportional to 259,940.25 and 558,558 is: 1,200,225.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,940.25 : 558,558 = 558,558 : x
  2. Step 2: Convert to fraction form
    259,940.25/558,558 = 558,558/x
  3. Step 3: Cross multiply
    259,940.25x = 558,558 × 558,558
  4. Step 4: Simplify right side
    259,940.25x = 311,987,039,364
  5. Step 5: Solve for x
    x = 311,987,039,364/259,940.25
  6. Step 6: Final answer
    x = 1,200,225.97

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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.