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Finding the Third Proportional to 7,888 and 17,856

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Solution

The third proportional to 7,888 and 17,856 is: 40,420.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,888 : 17,856 = 17,856 : x
  2. Step 2: Convert to fraction form
    7,888/17,856 = 17,856/x
  3. Step 3: Cross multiply
    7,888x = 17,856 × 17,856
  4. Step 4: Simplify right side
    7,888x = 318,836,736
  5. Step 5: Solve for x
    x = 318,836,736/7,888
  6. Step 6: Final answer
    x = 40,420.48

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.