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Finding the Third Proportional to 427.50 and 685.97

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Solution

The third proportional to 427.50 and 685.97 is: 1,100.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.50 : 685.97 = 685.97 : x
  2. Step 2: Convert to fraction form
    427.50/685.97 = 685.97/x
  3. Step 3: Cross multiply
    427.50x = 685.97 × 685.97
  4. Step 4: Simplify right side
    427.50x = 470,553.13
  5. Step 5: Solve for x
    x = 470,553.13/427.50
  6. Step 6: Final answer
    x = 1,100.71

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.