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Finding the Third Proportional to 7,856 and 12,872

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Solution

The third proportional to 7,856 and 12,872 is: 21,090.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856 : 12,872 = 12,872 : x
  2. Step 2: Convert to fraction form
    7,856/12,872 = 12,872/x
  3. Step 3: Cross multiply
    7,856x = 12,872 × 12,872
  4. Step 4: Simplify right side
    7,856x = 165,688,384
  5. Step 5: Solve for x
    x = 165,688,384/7,856
  6. Step 6: Final answer
    x = 21,090.68

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.