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Finding the Third Proportional to 18,481 and 38,275

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Solution

The third proportional to 18,481 and 38,275 is: 79,269.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,481 : 38,275 = 38,275 : x
  2. Step 2: Convert to fraction form
    18,481/38,275 = 38,275/x
  3. Step 3: Cross multiply
    18,481x = 38,275 × 38,275
  4. Step 4: Simplify right side
    18,481x = 1,464,975,625
  5. Step 5: Solve for x
    x = 1,464,975,625/18,481
  6. Step 6: Final answer
    x = 79,269.28

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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.