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Finding the Third Proportional to 309.50 and 676.25

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Solution

The third proportional to 309.50 and 676.25 is: 1,477.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.50 : 676.25 = 676.25 : x
  2. Step 2: Convert to fraction form
    309.50/676.25 = 676.25/x
  3. Step 3: Cross multiply
    309.50x = 676.25 × 676.25
  4. Step 4: Simplify right side
    309.50x = 457,314.06
  5. Step 5: Solve for x
    x = 457,314.06/309.50
  6. Step 6: Final answer
    x = 1,477.59

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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.