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Finding the Third Proportional to 1,927.69 and 4,029.19

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Solution

The third proportional to 1,927.69 and 4,029.19 is: 8,421.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.69 : 4,029.19 = 4,029.19 : x
  2. Step 2: Convert to fraction form
    1,927.69/4,029.19 = 4,029.19/x
  3. Step 3: Cross multiply
    1,927.69x = 4,029.19 × 4,029.19
  4. Step 4: Simplify right side
    1,927.69x = 16,234,351.91
  5. Step 5: Solve for x
    x = 16,234,351.91/1,927.69
  6. Step 6: Final answer
    x = 8,421.67

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.