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Finding the Third Proportional to 28,186 and 39,649

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Solution

The third proportional to 28,186 and 39,649 is: 55,773.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,186 : 39,649 = 39,649 : x
  2. Step 2: Convert to fraction form
    28,186/39,649 = 39,649/x
  3. Step 3: Cross multiply
    28,186x = 39,649 × 39,649
  4. Step 4: Simplify right side
    28,186x = 1,572,043,201
  5. Step 5: Solve for x
    x = 1,572,043,201/28,186
  6. Step 6: Final answer
    x = 55,773.90

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.