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Finding the Third Proportional to 519.47 and 1,136.53

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Solution

The third proportional to 519.47 and 1,136.53 is: 2,486.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.47 : 1,136.53 = 1,136.53 : x
  2. Step 2: Convert to fraction form
    519.47/1,136.53 = 1,136.53/x
  3. Step 3: Cross multiply
    519.47x = 1,136.53 × 1,136.53
  4. Step 4: Simplify right side
    519.47x = 1,291,703.28
  5. Step 5: Solve for x
    x = 1,291,703.28/519.47
  6. Step 6: Final answer
    x = 2,486.59

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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.