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Finding the Third Proportional to 604.88 and 804.38

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Solution

The third proportional to 604.88 and 804.38 is: 1,069.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.88 : 804.38 = 804.38 : x
  2. Step 2: Convert to fraction form
    604.88/804.38 = 804.38/x
  3. Step 3: Cross multiply
    604.88x = 804.38 × 804.38
  4. Step 4: Simplify right side
    604.88x = 647,019.14
  5. Step 5: Solve for x
    x = 647,019.14/604.88
  6. Step 6: Final answer
    x = 1,069.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.