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Finding the Third Proportional to 21,790 and 33,663

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Solution

The third proportional to 21,790 and 33,663 is: 52,005.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,790 : 33,663 = 33,663 : x
  2. Step 2: Convert to fraction form
    21,790/33,663 = 33,663/x
  3. Step 3: Cross multiply
    21,790x = 33,663 × 33,663
  4. Step 4: Simplify right side
    21,790x = 1,133,197,569
  5. Step 5: Solve for x
    x = 1,133,197,569/21,790
  6. Step 6: Final answer
    x = 52,005.40

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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.