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Finding the Third Proportional to 19,209 and 39,367

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Solution

The third proportional to 19,209 and 39,367 is: 80,678.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,209 : 39,367 = 39,367 : x
  2. Step 2: Convert to fraction form
    19,209/39,367 = 39,367/x
  3. Step 3: Cross multiply
    19,209x = 39,367 × 39,367
  4. Step 4: Simplify right side
    19,209x = 1,549,760,689
  5. Step 5: Solve for x
    x = 1,549,760,689/19,209
  6. Step 6: Final answer
    x = 80,678.88

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.