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Finding the Third Proportional to 319,230 and 494,285

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Solution

The third proportional to 319,230 and 494,285 is: 765,334.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,230 : 494,285 = 494,285 : x
  2. Step 2: Convert to fraction form
    319,230/494,285 = 494,285/x
  3. Step 3: Cross multiply
    319,230x = 494,285 × 494,285
  4. Step 4: Simplify right side
    319,230x = 244,317,661,225
  5. Step 5: Solve for x
    x = 244,317,661,225/319,230
  6. Step 6: Final answer
    x = 765,334.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.