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Finding the Third Proportional to 1,391.34 and 2,218.64

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Solution

The third proportional to 1,391.34 and 2,218.64 is: 3,537.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.34 : 2,218.64 = 2,218.64 : x
  2. Step 2: Convert to fraction form
    1,391.34/2,218.64 = 2,218.64/x
  3. Step 3: Cross multiply
    1,391.34x = 2,218.64 × 2,218.64
  4. Step 4: Simplify right side
    1,391.34x = 4,922,366.22
  5. Step 5: Solve for x
    x = 4,922,366.22/1,391.34
  6. Step 6: Final answer
    x = 3,537.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.