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Finding the Third Proportional to 319,449 and 494,565

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Solution

The third proportional to 319,449 and 494,565 is: 765,676.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,449 : 494,565 = 494,565 : x
  2. Step 2: Convert to fraction form
    319,449/494,565 = 494,565/x
  3. Step 3: Cross multiply
    319,449x = 494,565 × 494,565
  4. Step 4: Simplify right side
    319,449x = 244,594,539,225
  5. Step 5: Solve for x
    x = 244,594,539,225/319,449
  6. Step 6: Final answer
    x = 765,676.33

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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.