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Finding the Third Proportional to 289.25 and 679.69

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Solution

The third proportional to 289.25 and 679.69 is: 1,597.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.25 : 679.69 = 679.69 : x
  2. Step 2: Convert to fraction form
    289.25/679.69 = 679.69/x
  3. Step 3: Cross multiply
    289.25x = 679.69 × 679.69
  4. Step 4: Simplify right side
    289.25x = 461,975.10
  5. Step 5: Solve for x
    x = 461,975.10/289.25
  6. Step 6: Final answer
    x = 1,597.15

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.