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Finding the Third Proportional to 211,407 and 327,408

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Solution

The third proportional to 211,407 and 327,408 is: 507,059.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,407 : 327,408 = 327,408 : x
  2. Step 2: Convert to fraction form
    211,407/327,408 = 327,408/x
  3. Step 3: Cross multiply
    211,407x = 327,408 × 327,408
  4. Step 4: Simplify right side
    211,407x = 107,195,998,464
  5. Step 5: Solve for x
    x = 107,195,998,464/211,407
  6. Step 6: Final answer
    x = 507,059.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.