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Finding the Third Proportional to 270,786 and 378,556

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Solution

The third proportional to 270,786 and 378,556 is: 529,217.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,786 : 378,556 = 378,556 : x
  2. Step 2: Convert to fraction form
    270,786/378,556 = 378,556/x
  3. Step 3: Cross multiply
    270,786x = 378,556 × 378,556
  4. Step 4: Simplify right side
    270,786x = 143,304,645,136
  5. Step 5: Solve for x
    x = 143,304,645,136/270,786
  6. Step 6: Final answer
    x = 529,217.33

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.