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Finding the Third Proportional to 21,888 and 33,807

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Solution

The third proportional to 21,888 and 33,807 is: 52,216.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,888 : 33,807 = 33,807 : x
  2. Step 2: Convert to fraction form
    21,888/33,807 = 33,807/x
  3. Step 3: Cross multiply
    21,888x = 33,807 × 33,807
  4. Step 4: Simplify right side
    21,888x = 1,142,913,249
  5. Step 5: Solve for x
    x = 1,142,913,249/21,888
  6. Step 6: Final answer
    x = 52,216.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.