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Finding the Third Proportional to 303,478 and 437,173

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Solution

The third proportional to 303,478 and 437,173 is: 629,766.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,478 : 437,173 = 437,173 : x
  2. Step 2: Convert to fraction form
    303,478/437,173 = 437,173/x
  3. Step 3: Cross multiply
    303,478x = 437,173 × 437,173
  4. Step 4: Simplify right side
    303,478x = 191,120,231,929
  5. Step 5: Solve for x
    x = 191,120,231,929/303,478
  6. Step 6: Final answer
    x = 629,766.35

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.