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Finding the Third Proportional to 9,042 and 12,717

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Solution

The third proportional to 9,042 and 12,717 is: 17,885.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042 : 12,717 = 12,717 : x
  2. Step 2: Convert to fraction form
    9,042/12,717 = 12,717/x
  3. Step 3: Cross multiply
    9,042x = 12,717 × 12,717
  4. Step 4: Simplify right side
    9,042x = 161,722,089
  5. Step 5: Solve for x
    x = 161,722,089/9,042
  6. Step 6: Final answer
    x = 17,885.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.