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Finding the Third Proportional to 18,297 and 39,368

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Solution

The third proportional to 18,297 and 39,368 is: 84,704.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,297 : 39,368 = 39,368 : x
  2. Step 2: Convert to fraction form
    18,297/39,368 = 39,368/x
  3. Step 3: Cross multiply
    18,297x = 39,368 × 39,368
  4. Step 4: Simplify right side
    18,297x = 1,549,839,424
  5. Step 5: Solve for x
    x = 1,549,839,424/18,297
  6. Step 6: Final answer
    x = 84,704.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.