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Finding the Third Proportional to 912.67 and 1,291.41

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Solution

The third proportional to 912.67 and 1,291.41 is: 1,827.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.67 : 1,291.41 = 1,291.41 : x
  2. Step 2: Convert to fraction form
    912.67/1,291.41 = 1,291.41/x
  3. Step 3: Cross multiply
    912.67x = 1,291.41 × 1,291.41
  4. Step 4: Simplify right side
    912.67x = 1,667,745.24
  5. Step 5: Solve for x
    x = 1,667,745.24/912.67
  6. Step 6: Final answer
    x = 1,827.32

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.