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Finding the Third Proportional to 490.63 and 1,062.25

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Solution

The third proportional to 490.63 and 1,062.25 is: 2,299.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.63 : 1,062.25 = 1,062.25 : x
  2. Step 2: Convert to fraction form
    490.63/1,062.25 = 1,062.25/x
  3. Step 3: Cross multiply
    490.63x = 1,062.25 × 1,062.25
  4. Step 4: Simplify right side
    490.63x = 1,128,375.06
  5. Step 5: Solve for x
    x = 1,128,375.06/490.63
  6. Step 6: Final answer
    x = 2,299.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.