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Finding the Third Proportional to 937.78 and 1,918.27

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Solution

The third proportional to 937.78 and 1,918.27 is: 3,923.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.78 : 1,918.27 = 1,918.27 : x
  2. Step 2: Convert to fraction form
    937.78/1,918.27 = 1,918.27/x
  3. Step 3: Cross multiply
    937.78x = 1,918.27 × 1,918.27
  4. Step 4: Simplify right side
    937.78x = 3,679,743.01
  5. Step 5: Solve for x
    x = 3,679,743.01/937.78
  6. Step 6: Final answer
    x = 3,923.88

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.