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Finding the Third Proportional to 18,238 and 39,265

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Solution

The third proportional to 18,238 and 39,265 is: 84,534.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,238 : 39,265 = 39,265 : x
  2. Step 2: Convert to fraction form
    18,238/39,265 = 39,265/x
  3. Step 3: Cross multiply
    18,238x = 39,265 × 39,265
  4. Step 4: Simplify right side
    18,238x = 1,541,740,225
  5. Step 5: Solve for x
    x = 1,541,740,225/18,238
  6. Step 6: Final answer
    x = 84,534.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.