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Finding the Third Proportional to 18,149 and 38,473

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Solution

The third proportional to 18,149 and 38,473 is: 81,556.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,149 : 38,473 = 38,473 : x
  2. Step 2: Convert to fraction form
    18,149/38,473 = 38,473/x
  3. Step 3: Cross multiply
    18,149x = 38,473 × 38,473
  4. Step 4: Simplify right side
    18,149x = 1,480,171,729
  5. Step 5: Solve for x
    x = 1,480,171,729/18,149
  6. Step 6: Final answer
    x = 81,556.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.