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Finding the Third Proportional to 275.88 and 427.25

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Solution

The third proportional to 275.88 and 427.25 is: 661.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.88 : 427.25 = 427.25 : x
  2. Step 2: Convert to fraction form
    275.88/427.25 = 427.25/x
  3. Step 3: Cross multiply
    275.88x = 427.25 × 427.25
  4. Step 4: Simplify right side
    275.88x = 182,542.56
  5. Step 5: Solve for x
    x = 182,542.56/275.88
  6. Step 6: Final answer
    x = 661.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.