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Finding the Third Proportional to 1,980.19 and 2,768.38

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Solution

The third proportional to 1,980.19 and 2,768.38 is: 3,870.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.19 : 2,768.38 = 2,768.38 : x
  2. Step 2: Convert to fraction form
    1,980.19/2,768.38 = 2,768.38/x
  3. Step 3: Cross multiply
    1,980.19x = 2,768.38 × 2,768.38
  4. Step 4: Simplify right side
    1,980.19x = 7,663,900.14
  5. Step 5: Solve for x
    x = 7,663,900.14/1,980.19
  6. Step 6: Final answer
    x = 3,870.29

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.