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Finding the Third Proportional to 18,288 and 25,900

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Solution

The third proportional to 18,288 and 25,900 is: 36,680.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,288 : 25,900 = 25,900 : x
  2. Step 2: Convert to fraction form
    18,288/25,900 = 25,900/x
  3. Step 3: Cross multiply
    18,288x = 25,900 × 25,900
  4. Step 4: Simplify right side
    18,288x = 670,810,000
  5. Step 5: Solve for x
    x = 670,810,000/18,288
  6. Step 6: Final answer
    x = 36,680.34

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.