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Finding the Third Proportional to 743.41 and 1,619.23

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Solution

The third proportional to 743.41 and 1,619.23 is: 3,526.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.41 : 1,619.23 = 1,619.23 : x
  2. Step 2: Convert to fraction form
    743.41/1,619.23 = 1,619.23/x
  3. Step 3: Cross multiply
    743.41x = 1,619.23 × 1,619.23
  4. Step 4: Simplify right side
    743.41x = 2,621,894.66
  5. Step 5: Solve for x
    x = 2,621,894.66/743.41
  6. Step 6: Final answer
    x = 3,526.83

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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.