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Finding the Third Proportional to 1,378.69 and 2,080.97

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Solution

The third proportional to 1,378.69 and 2,080.97 is: 3,140.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.69 : 2,080.97 = 2,080.97 : x
  2. Step 2: Convert to fraction form
    1,378.69/2,080.97 = 2,080.97/x
  3. Step 3: Cross multiply
    1,378.69x = 2,080.97 × 2,080.97
  4. Step 4: Simplify right side
    1,378.69x = 4,330,430.94
  5. Step 5: Solve for x
    x = 4,330,430.94/1,378.69
  6. Step 6: Final answer
    x = 3,140.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.