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Finding the Third Proportional to 18,359 and 38,299

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Solution

The third proportional to 18,359 and 38,299 is: 79,896.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,359 : 38,299 = 38,299 : x
  2. Step 2: Convert to fraction form
    18,359/38,299 = 38,299/x
  3. Step 3: Cross multiply
    18,359x = 38,299 × 38,299
  4. Step 4: Simplify right side
    18,359x = 1,466,813,401
  5. Step 5: Solve for x
    x = 1,466,813,401/18,359
  6. Step 6: Final answer
    x = 79,896.15

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.