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Finding the Third Proportional to 21,948 and 33,080

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Solution

The third proportional to 21,948 and 33,080 is: 49,858.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,948 : 33,080 = 33,080 : x
  2. Step 2: Convert to fraction form
    21,948/33,080 = 33,080/x
  3. Step 3: Cross multiply
    21,948x = 33,080 × 33,080
  4. Step 4: Simplify right side
    21,948x = 1,094,286,400
  5. Step 5: Solve for x
    x = 1,094,286,400/21,948
  6. Step 6: Final answer
    x = 49,858.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.