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Finding the Third Proportional to 319,398.75 and 494,473.50

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Solution

The third proportional to 319,398.75 and 494,473.50 is: 765,513.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,398.75 : 494,473.50 = 494,473.50 : x
  2. Step 2: Convert to fraction form
    319,398.75/494,473.50 = 494,473.50/x
  3. Step 3: Cross multiply
    319,398.75x = 494,473.50 × 494,473.50
  4. Step 4: Simplify right side
    319,398.75x = 244,504,042,202.25
  5. Step 5: Solve for x
    x = 244,504,042,202.25/319,398.75
  6. Step 6: Final answer
    x = 765,513.46

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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.