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Finding the Third Proportional to 940.68 and 1,675.37

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Solution

The third proportional to 940.68 and 1,675.37 is: 2,983.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.68 : 1,675.37 = 1,675.37 : x
  2. Step 2: Convert to fraction form
    940.68/1,675.37 = 1,675.37/x
  3. Step 3: Cross multiply
    940.68x = 1,675.37 × 1,675.37
  4. Step 4: Simplify right side
    940.68x = 2,806,868.30
  5. Step 5: Solve for x
    x = 2,806,868.30/940.68
  6. Step 6: Final answer
    x = 2,983.88

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.