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Finding the Third Proportional to 291,221 and 445,872

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Solution

The third proportional to 291,221 and 445,872 is: 682,649.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,221 : 445,872 = 445,872 : x
  2. Step 2: Convert to fraction form
    291,221/445,872 = 445,872/x
  3. Step 3: Cross multiply
    291,221x = 445,872 × 445,872
  4. Step 4: Simplify right side
    291,221x = 198,801,840,384
  5. Step 5: Solve for x
    x = 198,801,840,384/291,221
  6. Step 6: Final answer
    x = 682,649.40

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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.