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Finding the Third Proportional to 1,920.75 and 4,189.13

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Solution

The third proportional to 1,920.75 and 4,189.13 is: 9,136.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.75 : 4,189.13 = 4,189.13 : x
  2. Step 2: Convert to fraction form
    1,920.75/4,189.13 = 4,189.13/x
  3. Step 3: Cross multiply
    1,920.75x = 4,189.13 × 4,189.13
  4. Step 4: Simplify right side
    1,920.75x = 17,548,768.27
  5. Step 5: Solve for x
    x = 17,548,768.27/1,920.75
  6. Step 6: Final answer
    x = 9,136.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.