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Finding the Third Proportional to 21,946 and 33,110

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Solution

The third proportional to 21,946 and 33,110 is: 49,953.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,946 : 33,110 = 33,110 : x
  2. Step 2: Convert to fraction form
    21,946/33,110 = 33,110/x
  3. Step 3: Cross multiply
    21,946x = 33,110 × 33,110
  4. Step 4: Simplify right side
    21,946x = 1,096,272,100
  5. Step 5: Solve for x
    x = 1,096,272,100/21,946
  6. Step 6: Final answer
    x = 49,953.16

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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.