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Finding the Third Proportional to 490.27 and 1,077.36

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Solution

The third proportional to 490.27 and 1,077.36 is: 2,367.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.27 : 1,077.36 = 1,077.36 : x
  2. Step 2: Convert to fraction form
    490.27/1,077.36 = 1,077.36/x
  3. Step 3: Cross multiply
    490.27x = 1,077.36 × 1,077.36
  4. Step 4: Simplify right side
    490.27x = 1,160,711.64
  5. Step 5: Solve for x
    x = 1,160,711.64/490.27
  6. Step 6: Final answer
    x = 2,367.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.