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Finding the Third Proportional to 18,820 and 26,338

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Solution

The third proportional to 18,820 and 26,338 is: 36,859.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,820 : 26,338 = 26,338 : x
  2. Step 2: Convert to fraction form
    18,820/26,338 = 26,338/x
  3. Step 3: Cross multiply
    18,820x = 26,338 × 26,338
  4. Step 4: Simplify right side
    18,820x = 693,690,244
  5. Step 5: Solve for x
    x = 693,690,244/18,820
  6. Step 6: Final answer
    x = 36,859.21

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.