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Finding the Third Proportional to 320.75 and 675.25

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Solution

The third proportional to 320.75 and 675.25 is: 1,421.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.75 : 675.25 = 675.25 : x
  2. Step 2: Convert to fraction form
    320.75/675.25 = 675.25/x
  3. Step 3: Cross multiply
    320.75x = 675.25 × 675.25
  4. Step 4: Simplify right side
    320.75x = 455,962.56
  5. Step 5: Solve for x
    x = 455,962.56/320.75
  6. Step 6: Final answer
    x = 1,421.55

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.