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Finding the Third Proportional to 1,394.50 and 2,160.44

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Solution

The third proportional to 1,394.50 and 2,160.44 is: 3,347.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.50 : 2,160.44 = 2,160.44 : x
  2. Step 2: Convert to fraction form
    1,394.50/2,160.44 = 2,160.44/x
  3. Step 3: Cross multiply
    1,394.50x = 2,160.44 × 2,160.44
  4. Step 4: Simplify right side
    1,394.50x = 4,667,490.19
  5. Step 5: Solve for x
    x = 4,667,490.19/1,394.50
  6. Step 6: Final answer
    x = 3,347.07

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.