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Finding the Third Proportional to 289.69 and 771.47

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Solution

The third proportional to 289.69 and 771.47 is: 2,054.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.69 : 771.47 = 771.47 : x
  2. Step 2: Convert to fraction form
    289.69/771.47 = 771.47/x
  3. Step 3: Cross multiply
    289.69x = 771.47 × 771.47
  4. Step 4: Simplify right side
    289.69x = 595,164.03
  5. Step 5: Solve for x
    x = 595,164.03/289.69
  6. Step 6: Final answer
    x = 2,054.50

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Why These Related Problems?

These problems maintain the same ratio (2.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.