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Finding the Third Proportional to 16,857 and 25,989

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Solution

The third proportional to 16,857 and 25,989 is: 40,068.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,857 : 25,989 = 25,989 : x
  2. Step 2: Convert to fraction form
    16,857/25,989 = 25,989/x
  3. Step 3: Cross multiply
    16,857x = 25,989 × 25,989
  4. Step 4: Simplify right side
    16,857x = 675,428,121
  5. Step 5: Solve for x
    x = 675,428,121/16,857
  6. Step 6: Final answer
    x = 40,068.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.