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Finding the Third Proportional to 248,105 and 394,307

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Solution

The third proportional to 248,105 and 394,307 is: 626,662.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,105 : 394,307 = 394,307 : x
  2. Step 2: Convert to fraction form
    248,105/394,307 = 394,307/x
  3. Step 3: Cross multiply
    248,105x = 394,307 × 394,307
  4. Step 4: Simplify right side
    248,105x = 155,478,010,249
  5. Step 5: Solve for x
    x = 155,478,010,249/248,105
  6. Step 6: Final answer
    x = 626,662.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.