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Finding the Third Proportional to 321,694 and 687,556

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Solution

The third proportional to 321,694 and 687,556 is: 1,469,512.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,694 : 687,556 = 687,556 : x
  2. Step 2: Convert to fraction form
    321,694/687,556 = 687,556/x
  3. Step 3: Cross multiply
    321,694x = 687,556 × 687,556
  4. Step 4: Simplify right side
    321,694x = 472,733,253,136
  5. Step 5: Solve for x
    x = 472,733,253,136/321,694
  6. Step 6: Final answer
    x = 1,469,512.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.