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Finding the Third Proportional to 409,212 and 620,136

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Solution

The third proportional to 409,212 and 620,136 is: 939,778.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,212 : 620,136 = 620,136 : x
  2. Step 2: Convert to fraction form
    409,212/620,136 = 620,136/x
  3. Step 3: Cross multiply
    409,212x = 620,136 × 620,136
  4. Step 4: Simplify right side
    409,212x = 384,568,658,496
  5. Step 5: Solve for x
    x = 384,568,658,496/409,212
  6. Step 6: Final answer
    x = 939,778.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.