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Finding the Third Proportional to 3,946.22 and 9,136.55

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Solution

The third proportional to 3,946.22 and 9,136.55 is: 21,153.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.22 : 9,136.55 = 9,136.55 : x
  2. Step 2: Convert to fraction form
    3,946.22/9,136.55 = 9,136.55/x
  3. Step 3: Cross multiply
    3,946.22x = 9,136.55 × 9,136.55
  4. Step 4: Simplify right side
    3,946.22x = 83,476,488.80
  5. Step 5: Solve for x
    x = 83,476,488.80/3,946.22
  6. Step 6: Final answer
    x = 21,153.54

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.