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Finding the Third Proportional to 393,968.25 and 576,978.75

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Solution

The third proportional to 393,968.25 and 576,978.75 is: 845,003.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,968.25 : 576,978.75 = 576,978.75 : x
  2. Step 2: Convert to fraction form
    393,968.25/576,978.75 = 576,978.75/x
  3. Step 3: Cross multiply
    393,968.25x = 576,978.75 × 576,978.75
  4. Step 4: Simplify right side
    393,968.25x = 332,904,477,951.56
  5. Step 5: Solve for x
    x = 332,904,477,951.56/393,968.25
  6. Step 6: Final answer
    x = 845,003.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.