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Finding the Third Proportional to 11,897 and 18,482

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Solution

The third proportional to 11,897 and 18,482 is: 28,711.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897 : 18,482 = 18,482 : x
  2. Step 2: Convert to fraction form
    11,897/18,482 = 18,482/x
  3. Step 3: Cross multiply
    11,897x = 18,482 × 18,482
  4. Step 4: Simplify right side
    11,897x = 341,584,324
  5. Step 5: Solve for x
    x = 341,584,324/11,897
  6. Step 6: Final answer
    x = 28,711.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.