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Finding the Third Proportional to 2,471 and 3,944.50

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Solution

The third proportional to 2,471 and 3,944.50 is: 6,296.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471 : 3,944.50 = 3,944.50 : x
  2. Step 2: Convert to fraction form
    2,471/3,944.50 = 3,944.50/x
  3. Step 3: Cross multiply
    2,471x = 3,944.50 × 3,944.50
  4. Step 4: Simplify right side
    2,471x = 15,559,080.25
  5. Step 5: Solve for x
    x = 15,559,080.25/2,471
  6. Step 6: Final answer
    x = 6,296.67

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.