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Finding the Third Proportional to 1,872 and 4,878

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Solution

The third proportional to 1,872 and 4,878 is: 12,710.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872 : 4,878 = 4,878 : x
  2. Step 2: Convert to fraction form
    1,872/4,878 = 4,878/x
  3. Step 3: Cross multiply
    1,872x = 4,878 × 4,878
  4. Step 4: Simplify right side
    1,872x = 23,794,884
  5. Step 5: Solve for x
    x = 23,794,884/1,872
  6. Step 6: Final answer
    x = 12,710.94

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Why These Related Problems?

These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.