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Finding the Third Proportional to 9,972 and 21,888

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Solution

The third proportional to 9,972 and 21,888 is: 48,042.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,972 : 21,888 = 21,888 : x
  2. Step 2: Convert to fraction form
    9,972/21,888 = 21,888/x
  3. Step 3: Cross multiply
    9,972x = 21,888 × 21,888
  4. Step 4: Simplify right side
    9,972x = 479,084,544
  5. Step 5: Solve for x
    x = 479,084,544/9,972
  6. Step 6: Final answer
    x = 48,042.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.