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Finding the Third Proportional to 490.15 and 1,066.80

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Solution

The third proportional to 490.15 and 1,066.80 is: 2,321.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.15 : 1,066.80 = 1,066.80 : x
  2. Step 2: Convert to fraction form
    490.15/1,066.80 = 1,066.80/x
  3. Step 3: Cross multiply
    490.15x = 1,066.80 × 1,066.80
  4. Step 4: Simplify right side
    490.15x = 1,138,069.12
  5. Step 5: Solve for x
    x = 1,138,069.12/490.15
  6. Step 6: Final answer
    x = 2,321.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.