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Finding the Third Proportional to 395,604 and 620,136

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Solution

The third proportional to 395,604 and 620,136 is: 972,105.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,604 : 620,136 = 620,136 : x
  2. Step 2: Convert to fraction form
    395,604/620,136 = 620,136/x
  3. Step 3: Cross multiply
    395,604x = 620,136 × 620,136
  4. Step 4: Simplify right side
    395,604x = 384,568,658,496
  5. Step 5: Solve for x
    x = 384,568,658,496/395,604
  6. Step 6: Final answer
    x = 972,105.08

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.