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Finding the Third Proportional to 270,208 and 394,888

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Solution

The third proportional to 270,208 and 394,888 is: 577,098.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,208 : 394,888 = 394,888 : x
  2. Step 2: Convert to fraction form
    270,208/394,888 = 394,888/x
  3. Step 3: Cross multiply
    270,208x = 394,888 × 394,888
  4. Step 4: Simplify right side
    270,208x = 155,936,532,544
  5. Step 5: Solve for x
    x = 155,936,532,544/270,208
  6. Step 6: Final answer
    x = 577,098.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.