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Finding the Third Proportional to 320.25 and 648.75

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Solution

The third proportional to 320.25 and 648.75 is: 1,314.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.25 : 648.75 = 648.75 : x
  2. Step 2: Convert to fraction form
    320.25/648.75 = 648.75/x
  3. Step 3: Cross multiply
    320.25x = 648.75 × 648.75
  4. Step 4: Simplify right side
    320.25x = 420,876.56
  5. Step 5: Solve for x
    x = 420,876.56/320.25
  6. Step 6: Final answer
    x = 1,314.21

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.