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Finding the Third Proportional to 16,806 and 18,294

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Solution

The third proportional to 16,806 and 18,294 is: 19,913.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,806 : 18,294 = 18,294 : x
  2. Step 2: Convert to fraction form
    16,806/18,294 = 18,294/x
  3. Step 3: Cross multiply
    16,806x = 18,294 × 18,294
  4. Step 4: Simplify right side
    16,806x = 334,670,436
  5. Step 5: Solve for x
    x = 334,670,436/16,806
  6. Step 6: Final answer
    x = 19,913.75

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.