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Finding the Third Proportional to 18,286 and 39,347

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Solution

The third proportional to 18,286 and 39,347 is: 84,665.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,286 : 39,347 = 39,347 : x
  2. Step 2: Convert to fraction form
    18,286/39,347 = 39,347/x
  3. Step 3: Cross multiply
    18,286x = 39,347 × 39,347
  4. Step 4: Simplify right side
    18,286x = 1,548,186,409
  5. Step 5: Solve for x
    x = 1,548,186,409/18,286
  6. Step 6: Final answer
    x = 84,665.12

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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.