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Finding the Third Proportional to 519.41 and 1,136.56

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Solution

The third proportional to 519.41 and 1,136.56 is: 2,487.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.41 : 1,136.56 = 1,136.56 : x
  2. Step 2: Convert to fraction form
    519.41/1,136.56 = 1,136.56/x
  3. Step 3: Cross multiply
    519.41x = 1,136.56 × 1,136.56
  4. Step 4: Simplify right side
    519.41x = 1,291,774.32
  5. Step 5: Solve for x
    x = 1,291,774.32/519.41
  6. Step 6: Final answer
    x = 2,487.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.