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Finding the Third Proportional to 321,727 and 693,319

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Solution

The third proportional to 321,727 and 693,319 is: 1,494,096.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,727 : 693,319 = 693,319 : x
  2. Step 2: Convert to fraction form
    321,727/693,319 = 693,319/x
  3. Step 3: Cross multiply
    321,727x = 693,319 × 693,319
  4. Step 4: Simplify right side
    321,727x = 480,691,235,761
  5. Step 5: Solve for x
    x = 480,691,235,761/321,727
  6. Step 6: Final answer
    x = 1,494,096.66

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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.