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Finding the Third Proportional to 259 and 349.75

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Solution

The third proportional to 259 and 349.75 is: 472.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    259 : 349.75 = 349.75 : x
  2. Step 2: Convert to fraction form
    259/349.75 = 349.75/x
  3. Step 3: Cross multiply
    259x = 349.75 × 349.75
  4. Step 4: Simplify right side
    259x = 122,325.06
  5. Step 5: Solve for x
    x = 122,325.06/259
  6. Step 6: Final answer
    x = 472.30

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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.