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Finding the Third Proportional to 620.16 and 1,339.03

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Solution

The third proportional to 620.16 and 1,339.03 is: 2,891.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.16 : 1,339.03 = 1,339.03 : x
  2. Step 2: Convert to fraction form
    620.16/1,339.03 = 1,339.03/x
  3. Step 3: Cross multiply
    620.16x = 1,339.03 × 1,339.03
  4. Step 4: Simplify right side
    620.16x = 1,793,004.69
  5. Step 5: Solve for x
    x = 1,793,004.69/620.16
  6. Step 6: Final answer
    x = 2,891.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.