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Finding the Third Proportional to 2,078 and 4,486

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Solution

The third proportional to 2,078 and 4,486 is: 9,684.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078 : 4,486 = 4,486 : x
  2. Step 2: Convert to fraction form
    2,078/4,486 = 4,486/x
  3. Step 3: Cross multiply
    2,078x = 4,486 × 4,486
  4. Step 4: Simplify right side
    2,078x = 20,124,196
  5. Step 5: Solve for x
    x = 20,124,196/2,078
  6. Step 6: Final answer
    x = 9,684.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.