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Finding the Third Proportional to 942.28 and 1,291.92

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Solution

The third proportional to 942.28 and 1,291.92 is: 1,771.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.28 : 1,291.92 = 1,291.92 : x
  2. Step 2: Convert to fraction form
    942.28/1,291.92 = 1,291.92/x
  3. Step 3: Cross multiply
    942.28x = 1,291.92 × 1,291.92
  4. Step 4: Simplify right side
    942.28x = 1,669,062.13
  5. Step 5: Solve for x
    x = 1,669,062.13/942.28
  6. Step 6: Final answer
    x = 1,771.30

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.