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Finding the Third Proportional to 18,479 and 38,271

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Solution

The third proportional to 18,479 and 38,271 is: 79,261.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,479 : 38,271 = 38,271 : x
  2. Step 2: Convert to fraction form
    18,479/38,271 = 38,271/x
  3. Step 3: Cross multiply
    18,479x = 38,271 × 38,271
  4. Step 4: Simplify right side
    18,479x = 1,464,669,441
  5. Step 5: Solve for x
    x = 1,464,669,441/18,479
  6. Step 6: Final answer
    x = 79,261.29

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.