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Finding the Third Proportional to 21,400 and 51,551

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Solution

The third proportional to 21,400 and 51,551 is: 124,182.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,400 : 51,551 = 51,551 : x
  2. Step 2: Convert to fraction form
    21,400/51,551 = 51,551/x
  3. Step 3: Cross multiply
    21,400x = 51,551 × 51,551
  4. Step 4: Simplify right side
    21,400x = 2,657,505,601
  5. Step 5: Solve for x
    x = 2,657,505,601/21,400
  6. Step 6: Final answer
    x = 124,182.50

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.