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Finding the Third Proportional to 19,968 and 21,888

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Solution

The third proportional to 19,968 and 21,888 is: 23,992.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,968 : 21,888 = 21,888 : x
  2. Step 2: Convert to fraction form
    19,968/21,888 = 21,888/x
  3. Step 3: Cross multiply
    19,968x = 21,888 × 21,888
  4. Step 4: Simplify right side
    19,968x = 479,084,544
  5. Step 5: Solve for x
    x = 479,084,544/19,968
  6. Step 6: Final answer
    x = 23,992.62

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.