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Finding the Third Proportional to 12,717 and 28,017

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Solution

The third proportional to 12,717 and 28,017 is: 61,724.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,717 : 28,017 = 28,017 : x
  2. Step 2: Convert to fraction form
    12,717/28,017 = 28,017/x
  3. Step 3: Cross multiply
    12,717x = 28,017 × 28,017
  4. Step 4: Simplify right side
    12,717x = 784,952,289
  5. Step 5: Solve for x
    x = 784,952,289/12,717
  6. Step 6: Final answer
    x = 61,724.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.