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Finding the Third Proportional to 21,471.75 and 23,415.75

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Solution

The third proportional to 21,471.75 and 23,415.75 is: 25,535.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,471.75 : 23,415.75 = 23,415.75 : x
  2. Step 2: Convert to fraction form
    21,471.75/23,415.75 = 23,415.75/x
  3. Step 3: Cross multiply
    21,471.75x = 23,415.75 × 23,415.75
  4. Step 4: Simplify right side
    21,471.75x = 548,297,348.06
  5. Step 5: Solve for x
    x = 548,297,348.06/21,471.75
  6. Step 6: Final answer
    x = 25,535.76

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.