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Finding the Third Proportional to 260,240 and 388,194

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Solution

The third proportional to 260,240 and 388,194 is: 579,060.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,240 : 388,194 = 388,194 : x
  2. Step 2: Convert to fraction form
    260,240/388,194 = 388,194/x
  3. Step 3: Cross multiply
    260,240x = 388,194 × 388,194
  4. Step 4: Simplify right side
    260,240x = 150,694,581,636
  5. Step 5: Solve for x
    x = 150,694,581,636/260,240
  6. Step 6: Final answer
    x = 579,060.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.