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Finding the Third Proportional to 21,546 and 33,439.88

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Solution

The third proportional to 21,546 and 33,439.88 is: 51,899.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,546 : 33,439.88 = 33,439.88 : x
  2. Step 2: Convert to fraction form
    21,546/33,439.88 = 33,439.88/x
  3. Step 3: Cross multiply
    21,546x = 33,439.88 × 33,439.88
  4. Step 4: Simplify right side
    21,546x = 1,118,225,240.02
  5. Step 5: Solve for x
    x = 1,118,225,240.02/21,546
  6. Step 6: Final answer
    x = 51,899.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.