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Finding the Third Proportional to 812.75 and 988.25

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Solution

The third proportional to 812.75 and 988.25 is: 1,201.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.75 : 988.25 = 988.25 : x
  2. Step 2: Convert to fraction form
    812.75/988.25 = 988.25/x
  3. Step 3: Cross multiply
    812.75x = 988.25 × 988.25
  4. Step 4: Simplify right side
    812.75x = 976,638.06
  5. Step 5: Solve for x
    x = 976,638.06/812.75
  6. Step 6: Final answer
    x = 1,201.65

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.