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Finding the Third Proportional to 5,856 and 8,872

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Solution

The third proportional to 5,856 and 8,872 is: 13,441.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856 : 8,872 = 8,872 : x
  2. Step 2: Convert to fraction form
    5,856/8,872 = 8,872/x
  3. Step 3: Cross multiply
    5,856x = 8,872 × 8,872
  4. Step 4: Simplify right side
    5,856x = 78,712,384
  5. Step 5: Solve for x
    x = 78,712,384/5,856
  6. Step 6: Final answer
    x = 13,441.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.