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Finding the Third Proportional to 19,896 and 21,768

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Solution

The third proportional to 19,896 and 21,768 is: 23,816.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,896 : 21,768 = 21,768 : x
  2. Step 2: Convert to fraction form
    19,896/21,768 = 21,768/x
  3. Step 3: Cross multiply
    19,896x = 21,768 × 21,768
  4. Step 4: Simplify right side
    19,896x = 473,845,824
  5. Step 5: Solve for x
    x = 473,845,824/19,896
  6. Step 6: Final answer
    x = 23,816.14

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.