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Finding the Third Proportional to 606.19 and 1,321.69

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Solution

The third proportional to 606.19 and 1,321.69 is: 2,881.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.19 : 1,321.69 = 1,321.69 : x
  2. Step 2: Convert to fraction form
    606.19/1,321.69 = 1,321.69/x
  3. Step 3: Cross multiply
    606.19x = 1,321.69 × 1,321.69
  4. Step 4: Simplify right side
    606.19x = 1,746,857.85
  5. Step 5: Solve for x
    x = 1,746,857.85/606.19
  6. Step 6: Final answer
    x = 2,881.71

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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.