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Finding the Third Proportional to 18,897 and 41,378

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Solution

The third proportional to 18,897 and 41,378 is: 90,603.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,897 : 41,378 = 41,378 : x
  2. Step 2: Convert to fraction form
    18,897/41,378 = 41,378/x
  3. Step 3: Cross multiply
    18,897x = 41,378 × 41,378
  4. Step 4: Simplify right side
    18,897x = 1,712,138,884
  5. Step 5: Solve for x
    x = 1,712,138,884/18,897
  6. Step 6: Final answer
    x = 90,603.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.