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Finding the Third Proportional to 12,775.50 and 18,745.50

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Solution

The third proportional to 12,775.50 and 18,745.50 is: 27,505.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,775.50 : 18,745.50 = 18,745.50 : x
  2. Step 2: Convert to fraction form
    12,775.50/18,745.50 = 18,745.50/x
  3. Step 3: Cross multiply
    12,775.50x = 18,745.50 × 18,745.50
  4. Step 4: Simplify right side
    12,775.50x = 351,393,770.25
  5. Step 5: Solve for x
    x = 351,393,770.25/12,775.50
  6. Step 6: Final answer
    x = 27,505.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.