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Finding the Third Proportional to 18,900 and 25,942

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Solution

The third proportional to 18,900 and 25,942 is: 35,607.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,900 : 25,942 = 25,942 : x
  2. Step 2: Convert to fraction form
    18,900/25,942 = 25,942/x
  3. Step 3: Cross multiply
    18,900x = 25,942 × 25,942
  4. Step 4: Simplify right side
    18,900x = 672,987,364
  5. Step 5: Solve for x
    x = 672,987,364/18,900
  6. Step 6: Final answer
    x = 35,607.80

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.