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Finding the Third Proportional to 303,434 and 437,078

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Solution

The third proportional to 303,434 and 437,078 is: 629,583.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,434 : 437,078 = 437,078 : x
  2. Step 2: Convert to fraction form
    303,434/437,078 = 437,078/x
  3. Step 3: Cross multiply
    303,434x = 437,078 × 437,078
  4. Step 4: Simplify right side
    303,434x = 191,037,178,084
  5. Step 5: Solve for x
    x = 191,037,178,084/303,434
  6. Step 6: Final answer
    x = 629,583.96

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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.