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Finding the Third Proportional to 345.25 and 697.25

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Solution

The third proportional to 345.25 and 697.25 is: 1,408.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.25 : 697.25 = 697.25 : x
  2. Step 2: Convert to fraction form
    345.25/697.25 = 697.25/x
  3. Step 3: Cross multiply
    345.25x = 697.25 × 697.25
  4. Step 4: Simplify right side
    345.25x = 486,157.56
  5. Step 5: Solve for x
    x = 486,157.56/345.25
  6. Step 6: Final answer
    x = 1,408.13

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.