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Finding the Third Proportional to 55,508 and 116,819

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Solution

The third proportional to 55,508 and 116,819 is: 245,850.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,508 : 116,819 = 116,819 : x
  2. Step 2: Convert to fraction form
    55,508/116,819 = 116,819/x
  3. Step 3: Cross multiply
    55,508x = 116,819 × 116,819
  4. Step 4: Simplify right side
    55,508x = 13,646,678,761
  5. Step 5: Solve for x
    x = 13,646,678,761/55,508
  6. Step 6: Final answer
    x = 245,850.67

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.