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Finding the Third Proportional to 3,289.50 and 4,921.88

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Solution

The third proportional to 3,289.50 and 4,921.88 is: 7,364.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.50 : 4,921.88 = 4,921.88 : x
  2. Step 2: Convert to fraction form
    3,289.50/4,921.88 = 4,921.88/x
  3. Step 3: Cross multiply
    3,289.50x = 4,921.88 × 4,921.88
  4. Step 4: Simplify right side
    3,289.50x = 24,224,853.52
  5. Step 5: Solve for x
    x = 24,224,853.52/3,289.50
  6. Step 6: Final answer
    x = 7,364.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.