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Finding the Third Proportional to 401,815.69 and 547,198.03

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Solution

The third proportional to 401,815.69 and 547,198.03 is: 745,181.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,815.69 : 547,198.03 = 547,198.03 : x
  2. Step 2: Convert to fraction form
    401,815.69/547,198.03 = 547,198.03/x
  3. Step 3: Cross multiply
    401,815.69x = 547,198.03 × 547,198.03
  4. Step 4: Simplify right side
    401,815.69x = 299,425,685,403.88
  5. Step 5: Solve for x
    x = 299,425,685,403.88/401,815.69
  6. Step 6: Final answer
    x = 745,181.67

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.