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Finding the Third Proportional to 213,851.81 and 298,979.44

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Solution

The third proportional to 213,851.81 and 298,979.44 is: 417,993.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,851.81 : 298,979.44 = 298,979.44 : x
  2. Step 2: Convert to fraction form
    213,851.81/298,979.44 = 298,979.44/x
  3. Step 3: Cross multiply
    213,851.81x = 298,979.44 × 298,979.44
  4. Step 4: Simplify right side
    213,851.81x = 89,388,704,047.82
  5. Step 5: Solve for x
    x = 89,388,704,047.82/213,851.81
  6. Step 6: Final answer
    x = 417,993.67

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.