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Finding the Third Proportional to 912.09 and 1,408.64

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Solution

The third proportional to 912.09 and 1,408.64 is: 2,175.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.09 : 1,408.64 = 1,408.64 : x
  2. Step 2: Convert to fraction form
    912.09/1,408.64 = 1,408.64/x
  3. Step 3: Cross multiply
    912.09x = 1,408.64 × 1,408.64
  4. Step 4: Simplify right side
    912.09x = 1,984,268.41
  5. Step 5: Solve for x
    x = 1,984,268.41/912.09
  6. Step 6: Final answer
    x = 2,175.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.