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Finding the Third Proportional to 319,405 and 494,483

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Solution

The third proportional to 319,405 and 494,483 is: 765,527.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,405 : 494,483 = 494,483 : x
  2. Step 2: Convert to fraction form
    319,405/494,483 = 494,483/x
  3. Step 3: Cross multiply
    319,405x = 494,483 × 494,483
  4. Step 4: Simplify right side
    319,405x = 244,513,437,289
  5. Step 5: Solve for x
    x = 244,513,437,289/319,405
  6. Step 6: Final answer
    x = 765,527.89

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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.