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Finding the Third Proportional to 291,219 and 445,869

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Solution

The third proportional to 291,219 and 445,869 is: 682,644.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,219 : 445,869 = 445,869 : x
  2. Step 2: Convert to fraction form
    291,219/445,869 = 445,869/x
  3. Step 3: Cross multiply
    291,219x = 445,869 × 445,869
  4. Step 4: Simplify right side
    291,219x = 198,799,165,161
  5. Step 5: Solve for x
    x = 198,799,165,161/291,219
  6. Step 6: Final answer
    x = 682,644.90

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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.