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Finding the Third Proportional to 21,284 and 33,686

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Solution

The third proportional to 21,284 and 33,686 is: 53,314.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,284 : 33,686 = 33,686 : x
  2. Step 2: Convert to fraction form
    21,284/33,686 = 33,686/x
  3. Step 3: Cross multiply
    21,284x = 33,686 × 33,686
  4. Step 4: Simplify right side
    21,284x = 1,134,746,596
  5. Step 5: Solve for x
    x = 1,134,746,596/21,284
  6. Step 6: Final answer
    x = 53,314.54

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.