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Finding the Third Proportional to 1,217 and 2,668

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Solution

The third proportional to 1,217 and 2,668 is: 5,848.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217 : 2,668 = 2,668 : x
  2. Step 2: Convert to fraction form
    1,217/2,668 = 2,668/x
  3. Step 3: Cross multiply
    1,217x = 2,668 × 2,668
  4. Step 4: Simplify right side
    1,217x = 7,118,224
  5. Step 5: Solve for x
    x = 7,118,224/1,217
  6. Step 6: Final answer
    x = 5,848.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.