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Finding the Third Proportional to 290,013 and 408,408

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Solution

The third proportional to 290,013 and 408,408 is: 575,136.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,013 : 408,408 = 408,408 : x
  2. Step 2: Convert to fraction form
    290,013/408,408 = 408,408/x
  3. Step 3: Cross multiply
    290,013x = 408,408 × 408,408
  4. Step 4: Simplify right side
    290,013x = 166,797,094,464
  5. Step 5: Solve for x
    x = 166,797,094,464/290,013
  6. Step 6: Final answer
    x = 575,136.61

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.