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Finding the Third Proportional to 7,874 and 12,353

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Solution

The third proportional to 7,874 and 12,353 is: 19,379.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874 : 12,353 = 12,353 : x
  2. Step 2: Convert to fraction form
    7,874/12,353 = 12,353/x
  3. Step 3: Cross multiply
    7,874x = 12,353 × 12,353
  4. Step 4: Simplify right side
    7,874x = 152,596,609
  5. Step 5: Solve for x
    x = 152,596,609/7,874
  6. Step 6: Final answer
    x = 19,379.81

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.