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Finding the Third Proportional to 19,716 and 25,878

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Solution

The third proportional to 19,716 and 25,878 is: 33,965.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,716 : 25,878 = 25,878 : x
  2. Step 2: Convert to fraction form
    19,716/25,878 = 25,878/x
  3. Step 3: Cross multiply
    19,716x = 25,878 × 25,878
  4. Step 4: Simplify right side
    19,716x = 669,670,884
  5. Step 5: Solve for x
    x = 669,670,884/19,716
  6. Step 6: Final answer
    x = 33,965.86

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.