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Finding the Third Proportional to 7,784 and 11,913

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Solution

The third proportional to 7,784 and 11,913 is: 18,232.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784 : 11,913 = 11,913 : x
  2. Step 2: Convert to fraction form
    7,784/11,913 = 11,913/x
  3. Step 3: Cross multiply
    7,784x = 11,913 × 11,913
  4. Step 4: Simplify right side
    7,784x = 141,919,569
  5. Step 5: Solve for x
    x = 141,919,569/7,784
  6. Step 6: Final answer
    x = 18,232.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.