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Finding the Third Proportional to 358.69 and 823.22

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Solution

The third proportional to 358.69 and 823.22 is: 1,889.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.69 : 823.22 = 823.22 : x
  2. Step 2: Convert to fraction form
    358.69/823.22 = 823.22/x
  3. Step 3: Cross multiply
    358.69x = 823.22 × 823.22
  4. Step 4: Simplify right side
    358.69x = 677,689.11
  5. Step 5: Solve for x
    x = 677,689.11/358.69
  6. Step 6: Final answer
    x = 1,889.36

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.