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Finding the Third Proportional to 18,787 and 25,306

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Solution

The third proportional to 18,787 and 25,306 is: 34,087.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,787 : 25,306 = 25,306 : x
  2. Step 2: Convert to fraction form
    18,787/25,306 = 25,306/x
  3. Step 3: Cross multiply
    18,787x = 25,306 × 25,306
  4. Step 4: Simplify right side
    18,787x = 640,393,636
  5. Step 5: Solve for x
    x = 640,393,636/18,787
  6. Step 6: Final answer
    x = 34,087.06

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.