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Finding the Third Proportional to 311,702 and 445,701

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Solution

The third proportional to 311,702 and 445,701 is: 637,305.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,702 : 445,701 = 445,701 : x
  2. Step 2: Convert to fraction form
    311,702/445,701 = 445,701/x
  3. Step 3: Cross multiply
    311,702x = 445,701 × 445,701
  4. Step 4: Simplify right side
    311,702x = 198,649,381,401
  5. Step 5: Solve for x
    x = 198,649,381,401/311,702
  6. Step 6: Final answer
    x = 637,305.44

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.