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Finding the Third Proportional to 21,604 and 33,328

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Solution

The third proportional to 21,604 and 33,328 is: 51,414.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,604 : 33,328 = 33,328 : x
  2. Step 2: Convert to fraction form
    21,604/33,328 = 33,328/x
  3. Step 3: Cross multiply
    21,604x = 33,328 × 33,328
  4. Step 4: Simplify right side
    21,604x = 1,110,755,584
  5. Step 5: Solve for x
    x = 1,110,755,584/21,604
  6. Step 6: Final answer
    x = 51,414.35

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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.