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Finding the Third Proportional to 18,020 and 38,911

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Solution

The third proportional to 18,020 and 38,911 is: 84,021.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,020 : 38,911 = 38,911 : x
  2. Step 2: Convert to fraction form
    18,020/38,911 = 38,911/x
  3. Step 3: Cross multiply
    18,020x = 38,911 × 38,911
  4. Step 4: Simplify right side
    18,020x = 1,514,065,921
  5. Step 5: Solve for x
    x = 1,514,065,921/18,020
  6. Step 6: Final answer
    x = 84,021.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.