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Finding the Third Proportional to 3,211.68 and 4,509.74

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Solution

The third proportional to 3,211.68 and 4,509.74 is: 6,332.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.68 : 4,509.74 = 4,509.74 : x
  2. Step 2: Convert to fraction form
    3,211.68/4,509.74 = 4,509.74/x
  3. Step 3: Cross multiply
    3,211.68x = 4,509.74 × 4,509.74
  4. Step 4: Simplify right side
    3,211.68x = 20,337,739.37
  5. Step 5: Solve for x
    x = 20,337,739.37/3,211.68
  6. Step 6: Final answer
    x = 6,332.43

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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.