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Finding the Third Proportional to 21,906 and 33,888

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Solution

The third proportional to 21,906 and 33,888 is: 52,423.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,906 : 33,888 = 33,888 : x
  2. Step 2: Convert to fraction form
    21,906/33,888 = 33,888/x
  3. Step 3: Cross multiply
    21,906x = 33,888 × 33,888
  4. Step 4: Simplify right side
    21,906x = 1,148,396,544
  5. Step 5: Solve for x
    x = 1,148,396,544/21,906
  6. Step 6: Final answer
    x = 52,423.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.