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Finding the Third Proportional to 767.06 and 1,679.81

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Solution

The third proportional to 767.06 and 1,679.81 is: 3,678.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.06 : 1,679.81 = 1,679.81 : x
  2. Step 2: Convert to fraction form
    767.06/1,679.81 = 1,679.81/x
  3. Step 3: Cross multiply
    767.06x = 1,679.81 × 1,679.81
  4. Step 4: Simplify right side
    767.06x = 2,821,770.04
  5. Step 5: Solve for x
    x = 2,821,770.04/767.06
  6. Step 6: Final answer
    x = 3,678.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.