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Finding the Third Proportional to 259.22 and 556.69

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Solution

The third proportional to 259.22 and 556.69 is: 1,195.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.22 : 556.69 = 556.69 : x
  2. Step 2: Convert to fraction form
    259.22/556.69 = 556.69/x
  3. Step 3: Cross multiply
    259.22x = 556.69 × 556.69
  4. Step 4: Simplify right side
    259.22x = 309,900.97
  5. Step 5: Solve for x
    x = 309,900.97/259.22
  6. Step 6: Final answer
    x = 1,195.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.