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Finding the Third Proportional to 17,784 and 20,376

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Solution

The third proportional to 17,784 and 20,376 is: 23,345.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,784 : 20,376 = 20,376 : x
  2. Step 2: Convert to fraction form
    17,784/20,376 = 20,376/x
  3. Step 3: Cross multiply
    17,784x = 20,376 × 20,376
  4. Step 4: Simplify right side
    17,784x = 415,181,376
  5. Step 5: Solve for x
    x = 415,181,376/17,784
  6. Step 6: Final answer
    x = 23,345.78

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.