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Finding the Third Proportional to 303,997 and 659,915

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Solution

The third proportional to 303,997 and 659,915 is: 1,432,539.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,997 : 659,915 = 659,915 : x
  2. Step 2: Convert to fraction form
    303,997/659,915 = 659,915/x
  3. Step 3: Cross multiply
    303,997x = 659,915 × 659,915
  4. Step 4: Simplify right side
    303,997x = 435,487,807,225
  5. Step 5: Solve for x
    x = 435,487,807,225/303,997
  6. Step 6: Final answer
    x = 1,432,539.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.