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Finding the Third Proportional to 28,057 and 61,649

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Solution

The third proportional to 28,057 and 61,649 is: 135,459.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,057 : 61,649 = 61,649 : x
  2. Step 2: Convert to fraction form
    28,057/61,649 = 61,649/x
  3. Step 3: Cross multiply
    28,057x = 61,649 × 61,649
  4. Step 4: Simplify right side
    28,057x = 3,800,599,201
  5. Step 5: Solve for x
    x = 3,800,599,201/28,057
  6. Step 6: Final answer
    x = 135,459.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.