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Finding the Third Proportional to 211,415 and 323,821

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Solution

The third proportional to 211,415 and 323,821 is: 495,991.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,415 : 323,821 = 323,821 : x
  2. Step 2: Convert to fraction form
    211,415/323,821 = 323,821/x
  3. Step 3: Cross multiply
    211,415x = 323,821 × 323,821
  4. Step 4: Simplify right side
    211,415x = 104,860,040,041
  5. Step 5: Solve for x
    x = 104,860,040,041/211,415
  6. Step 6: Final answer
    x = 495,991.49

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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.