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Finding the Third Proportional to 321,708 and 693,279

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Solution

The third proportional to 321,708 and 693,279 is: 1,494,012.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,708 : 693,279 = 693,279 : x
  2. Step 2: Convert to fraction form
    321,708/693,279 = 693,279/x
  3. Step 3: Cross multiply
    321,708x = 693,279 × 693,279
  4. Step 4: Simplify right side
    321,708x = 480,635,771,841
  5. Step 5: Solve for x
    x = 480,635,771,841/321,708
  6. Step 6: Final answer
    x = 1,494,012.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.