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Finding the Third Proportional to 490.22 and 1,034.86

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Solution

The third proportional to 490.22 and 1,034.86 is: 2,184.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.22 : 1,034.86 = 1,034.86 : x
  2. Step 2: Convert to fraction form
    490.22/1,034.86 = 1,034.86/x
  3. Step 3: Cross multiply
    490.22x = 1,034.86 × 1,034.86
  4. Step 4: Simplify right side
    490.22x = 1,070,933.93
  5. Step 5: Solve for x
    x = 1,070,933.93/490.22
  6. Step 6: Final answer
    x = 2,184.60

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.