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Finding the Third Proportional to 7,788 and 13,992

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Solution

The third proportional to 7,788 and 13,992 is: 25,138.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,788 : 13,992 = 13,992 : x
  2. Step 2: Convert to fraction form
    7,788/13,992 = 13,992/x
  3. Step 3: Cross multiply
    7,788x = 13,992 × 13,992
  4. Step 4: Simplify right side
    7,788x = 195,776,064
  5. Step 5: Solve for x
    x = 195,776,064/7,788
  6. Step 6: Final answer
    x = 25,138.17

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.