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Finding the Third Proportional to 4,380 and 8,964.38

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Solution

The third proportional to 4,380 and 8,964.38 is: 18,347.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,380 : 8,964.38 = 8,964.38 : x
  2. Step 2: Convert to fraction form
    4,380/8,964.38 = 8,964.38/x
  3. Step 3: Cross multiply
    4,380x = 8,964.38 × 8,964.38
  4. Step 4: Simplify right side
    4,380x = 80,360,019.14
  5. Step 5: Solve for x
    x = 80,360,019.14/4,380
  6. Step 6: Final answer
    x = 18,347.04

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.