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Finding the Third Proportional to 18,852 and 28,678

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Solution

The third proportional to 18,852 and 28,678 is: 43,625.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,852 : 28,678 = 28,678 : x
  2. Step 2: Convert to fraction form
    18,852/28,678 = 28,678/x
  3. Step 3: Cross multiply
    18,852x = 28,678 × 28,678
  4. Step 4: Simplify right side
    18,852x = 822,427,684
  5. Step 5: Solve for x
    x = 822,427,684/18,852
  6. Step 6: Final answer
    x = 43,625.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.