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Finding the Third Proportional to 21,150 and 33,489

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Solution

The third proportional to 21,150 and 33,489 is: 53,026.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,150 : 33,489 = 33,489 : x
  2. Step 2: Convert to fraction form
    21,150/33,489 = 33,489/x
  3. Step 3: Cross multiply
    21,150x = 33,489 × 33,489
  4. Step 4: Simplify right side
    21,150x = 1,121,513,121
  5. Step 5: Solve for x
    x = 1,121,513,121/21,150
  6. Step 6: Final answer
    x = 53,026.63

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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.