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Finding the Third Proportional to 942.75 and 1,049.06

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Solution

The third proportional to 942.75 and 1,049.06 is: 1,167.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.75 : 1,049.06 = 1,049.06 : x
  2. Step 2: Convert to fraction form
    942.75/1,049.06 = 1,049.06/x
  3. Step 3: Cross multiply
    942.75x = 1,049.06 × 1,049.06
  4. Step 4: Simplify right side
    942.75x = 1,100,532.13
  5. Step 5: Solve for x
    x = 1,100,532.13/942.75
  6. Step 6: Final answer
    x = 1,167.36

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.