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Finding the Third Proportional to 259.75 and 556.38

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Solution

The third proportional to 259.75 and 556.38 is: 1,191.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.75 : 556.38 = 556.38 : x
  2. Step 2: Convert to fraction form
    259.75/556.38 = 556.38/x
  3. Step 3: Cross multiply
    259.75x = 556.38 × 556.38
  4. Step 4: Simplify right side
    259.75x = 309,553.14
  5. Step 5: Solve for x
    x = 309,553.14/259.75
  6. Step 6: Final answer
    x = 1,191.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.