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Finding the Third Proportional to 355.59 and 725.67

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Solution

The third proportional to 355.59 and 725.67 is: 1,480.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.59 : 725.67 = 725.67 : x
  2. Step 2: Convert to fraction form
    355.59/725.67 = 725.67/x
  3. Step 3: Cross multiply
    355.59x = 725.67 × 725.67
  4. Step 4: Simplify right side
    355.59x = 526,599.67
  5. Step 5: Solve for x
    x = 526,599.67/355.59
  6. Step 6: Final answer
    x = 1,480.90

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.