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Finding the Third Proportional to 771.75 and 940.50

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Solution

The third proportional to 771.75 and 940.50 is: 1,146.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.75 : 940.50 = 940.50 : x
  2. Step 2: Convert to fraction form
    771.75/940.50 = 940.50/x
  3. Step 3: Cross multiply
    771.75x = 940.50 × 940.50
  4. Step 4: Simplify right side
    771.75x = 884,540.25
  5. Step 5: Solve for x
    x = 884,540.25/771.75
  6. Step 6: Final answer
    x = 1,146.15

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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.