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Finding the Third Proportional to 4,838 and 10,405

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Solution

The third proportional to 4,838 and 10,405 is: 22,377.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838 : 10,405 = 10,405 : x
  2. Step 2: Convert to fraction form
    4,838/10,405 = 10,405/x
  3. Step 3: Cross multiply
    4,838x = 10,405 × 10,405
  4. Step 4: Simplify right side
    4,838x = 108,264,025
  5. Step 5: Solve for x
    x = 108,264,025/4,838
  6. Step 6: Final answer
    x = 22,377.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.