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Finding the Third Proportional to 1,396.78 and 3,012.80

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Solution

The third proportional to 1,396.78 and 3,012.80 is: 6,498.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.78 : 3,012.80 = 3,012.80 : x
  2. Step 2: Convert to fraction form
    1,396.78/3,012.80 = 3,012.80/x
  3. Step 3: Cross multiply
    1,396.78x = 3,012.80 × 3,012.80
  4. Step 4: Simplify right side
    1,396.78x = 9,076,952.18
  5. Step 5: Solve for x
    x = 9,076,952.18/1,396.78
  6. Step 6: Final answer
    x = 6,498.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.