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Finding the Third Proportional to 211,479,744 and 323,299,408.50

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Solution

The third proportional to 211,479,744 and 323,299,408.50 is: 494,243,588.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,479,744 : 323,299,408.50 = 323,299,408.50 : x
  2. Step 2: Convert to fraction form
    211,479,744/323,299,408.50 = 323,299,408.50/x
  3. Step 3: Cross multiply
    211,479,744x = 323,299,408.50 × 323,299,408.50
  4. Step 4: Simplify right side
    211,479,744x = 104,522,507,536,449,872
  5. Step 5: Solve for x
    x = 104,522,507,536,449,872/211,479,744
  6. Step 6: Final answer
    x = 494,243,588.34

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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.