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Finding the Third Proportional to 679.22 and 730.69

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Solution

The third proportional to 679.22 and 730.69 is: 786.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.22 : 730.69 = 730.69 : x
  2. Step 2: Convert to fraction form
    679.22/730.69 = 730.69/x
  3. Step 3: Cross multiply
    679.22x = 730.69 × 730.69
  4. Step 4: Simplify right side
    679.22x = 533,904.22
  5. Step 5: Solve for x
    x = 533,904.22/679.22
  6. Step 6: Final answer
    x = 786.06

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.