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Finding the Third Proportional to 2,750.20 and 5,890.85

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Solution

The third proportional to 2,750.20 and 5,890.85 is: 12,618.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,750.20 : 5,890.85 = 5,890.85 : x
  2. Step 2: Convert to fraction form
    2,750.20/5,890.85 = 5,890.85/x
  3. Step 3: Cross multiply
    2,750.20x = 5,890.85 × 5,890.85
  4. Step 4: Simplify right side
    2,750.20x = 34,702,132.13
  5. Step 5: Solve for x
    x = 34,702,132.13/2,750.20
  6. Step 6: Final answer
    x = 12,618.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.