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Finding the Third Proportional to 358.07 and 825.40

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Solution

The third proportional to 358.07 and 825.40 is: 1,902.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.07 : 825.40 = 825.40 : x
  2. Step 2: Convert to fraction form
    358.07/825.40 = 825.40/x
  3. Step 3: Cross multiply
    358.07x = 825.40 × 825.40
  4. Step 4: Simplify right side
    358.07x = 681,282.58
  5. Step 5: Solve for x
    x = 681,282.58/358.07
  6. Step 6: Final answer
    x = 1,902.67

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.