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Finding the Third Proportional to 3,946.50 and 8,418.38

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Solution

The third proportional to 3,946.50 and 8,418.38 is: 17,957.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.50 : 8,418.38 = 8,418.38 : x
  2. Step 2: Convert to fraction form
    3,946.50/8,418.38 = 8,418.38/x
  3. Step 3: Cross multiply
    3,946.50x = 8,418.38 × 8,418.38
  4. Step 4: Simplify right side
    3,946.50x = 70,869,037.64
  5. Step 5: Solve for x
    x = 70,869,037.64/3,946.50
  6. Step 6: Final answer
    x = 17,957.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.