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Finding the Third Proportional to 1,999.41 and 3,136.20

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Solution

The third proportional to 1,999.41 and 3,136.20 is: 4,919.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.41 : 3,136.20 = 3,136.20 : x
  2. Step 2: Convert to fraction form
    1,999.41/3,136.20 = 3,136.20/x
  3. Step 3: Cross multiply
    1,999.41x = 3,136.20 × 3,136.20
  4. Step 4: Simplify right side
    1,999.41x = 9,835,757.79
  5. Step 5: Solve for x
    x = 9,835,757.79/1,999.41
  6. Step 6: Final answer
    x = 4,919.34

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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.