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Finding the Third Proportional to 398,793 and 612,975

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Solution

The third proportional to 398,793 and 612,975 is: 942,188.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,793 : 612,975 = 612,975 : x
  2. Step 2: Convert to fraction form
    398,793/612,975 = 612,975/x
  3. Step 3: Cross multiply
    398,793x = 612,975 × 612,975
  4. Step 4: Simplify right side
    398,793x = 375,738,350,625
  5. Step 5: Solve for x
    x = 375,738,350,625/398,793
  6. Step 6: Final answer
    x = 942,188.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.