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Finding the Third Proportional to 351.69 and 821.55

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Solution

The third proportional to 351.69 and 821.55 is: 1,919.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.69 : 821.55 = 821.55 : x
  2. Step 2: Convert to fraction form
    351.69/821.55 = 821.55/x
  3. Step 3: Cross multiply
    351.69x = 821.55 × 821.55
  4. Step 4: Simplify right side
    351.69x = 674,942.48
  5. Step 5: Solve for x
    x = 674,942.48/351.69
  6. Step 6: Final answer
    x = 1,919.16

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.