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Finding the Third Proportional to 345.25 and 754.25

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Solution

The third proportional to 345.25 and 754.25 is: 1,647.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.25 : 754.25 = 754.25 : x
  2. Step 2: Convert to fraction form
    345.25/754.25 = 754.25/x
  3. Step 3: Cross multiply
    345.25x = 754.25 × 754.25
  4. Step 4: Simplify right side
    345.25x = 568,893.06
  5. Step 5: Solve for x
    x = 568,893.06/345.25
  6. Step 6: Final answer
    x = 1,647.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.