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Finding the Third Proportional to 4,120.56 and 5,890.38

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Solution

The third proportional to 4,120.56 and 5,890.38 is: 8,420.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,120.56 : 5,890.38 = 5,890.38 : x
  2. Step 2: Convert to fraction form
    4,120.56/5,890.38 = 5,890.38/x
  3. Step 3: Cross multiply
    4,120.56x = 5,890.38 × 5,890.38
  4. Step 4: Simplify right side
    4,120.56x = 34,696,540.65
  5. Step 5: Solve for x
    x = 34,696,540.65/4,120.56
  6. Step 6: Final answer
    x = 8,420.35

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.