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Finding the Third Proportional to 301,379 and 409,311

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Solution

The third proportional to 301,379 and 409,311 is: 555,896.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,379 : 409,311 = 409,311 : x
  2. Step 2: Convert to fraction form
    301,379/409,311 = 409,311/x
  3. Step 3: Cross multiply
    301,379x = 409,311 × 409,311
  4. Step 4: Simplify right side
    301,379x = 167,535,494,721
  5. Step 5: Solve for x
    x = 167,535,494,721/301,379
  6. Step 6: Final answer
    x = 555,896.38

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.