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Finding the Third Proportional to 320,864 and 493,234

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Solution

The third proportional to 320,864 and 493,234 is: 758,202.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,864 : 493,234 = 493,234 : x
  2. Step 2: Convert to fraction form
    320,864/493,234 = 493,234/x
  3. Step 3: Cross multiply
    320,864x = 493,234 × 493,234
  4. Step 4: Simplify right side
    320,864x = 243,279,778,756
  5. Step 5: Solve for x
    x = 243,279,778,756/320,864
  6. Step 6: Final answer
    x = 758,202.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.