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Finding the Third Proportional to 2,011 and 2,821.50

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Solution

The third proportional to 2,011 and 2,821.50 is: 3,958.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011 : 2,821.50 = 2,821.50 : x
  2. Step 2: Convert to fraction form
    2,011/2,821.50 = 2,821.50/x
  3. Step 3: Cross multiply
    2,011x = 2,821.50 × 2,821.50
  4. Step 4: Simplify right side
    2,011x = 7,960,862.25
  5. Step 5: Solve for x
    x = 7,960,862.25/2,011
  6. Step 6: Final answer
    x = 3,958.66

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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.