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Finding the Third Proportional to 940 and 2,245.50

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Solution

The third proportional to 940 and 2,245.50 is: 5,364.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    940 : 2,245.50 = 2,245.50 : x
  2. Step 2: Convert to fraction form
    940/2,245.50 = 2,245.50/x
  3. Step 3: Cross multiply
    940x = 2,245.50 × 2,245.50
  4. Step 4: Simplify right side
    940x = 5,042,270.25
  5. Step 5: Solve for x
    x = 5,042,270.25/940
  6. Step 6: Final answer
    x = 5,364.12

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.