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Finding the Third Proportional to 2,852 and 7,742

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Solution

The third proportional to 2,852 and 7,742 is: 21,016.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852 : 7,742 = 7,742 : x
  2. Step 2: Convert to fraction form
    2,852/7,742 = 7,742/x
  3. Step 3: Cross multiply
    2,852x = 7,742 × 7,742
  4. Step 4: Simplify right side
    2,852x = 59,938,564
  5. Step 5: Solve for x
    x = 59,938,564/2,852
  6. Step 6: Final answer
    x = 21,016.33

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.