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Finding the Third Proportional to 398,997 and 610,425

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Solution

The third proportional to 398,997 and 610,425 is: 933,888.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,997 : 610,425 = 610,425 : x
  2. Step 2: Convert to fraction form
    398,997/610,425 = 610,425/x
  3. Step 3: Cross multiply
    398,997x = 610,425 × 610,425
  4. Step 4: Simplify right side
    398,997x = 372,618,680,625
  5. Step 5: Solve for x
    x = 372,618,680,625/398,997
  6. Step 6: Final answer
    x = 933,888.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.