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Finding the Third Proportional to 1,196 and 2,604

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Solution

The third proportional to 1,196 and 2,604 is: 5,669.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196 : 2,604 = 2,604 : x
  2. Step 2: Convert to fraction form
    1,196/2,604 = 2,604/x
  3. Step 3: Cross multiply
    1,196x = 2,604 × 2,604
  4. Step 4: Simplify right side
    1,196x = 6,780,816
  5. Step 5: Solve for x
    x = 6,780,816/1,196
  6. Step 6: Final answer
    x = 5,669.58

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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.