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Finding the Third Proportional to 259.75 and 350.69

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Solution

The third proportional to 259.75 and 350.69 is: 473.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.75 : 350.69 = 350.69 : x
  2. Step 2: Convert to fraction form
    259.75/350.69 = 350.69/x
  3. Step 3: Cross multiply
    259.75x = 350.69 × 350.69
  4. Step 4: Simplify right side
    259.75x = 122,981.72
  5. Step 5: Solve for x
    x = 122,981.72/259.75
  6. Step 6: Final answer
    x = 473.46

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.