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Finding the Third Proportional to 7,780 and 11,914

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Solution

The third proportional to 7,780 and 11,914 is: 18,244.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780 : 11,914 = 11,914 : x
  2. Step 2: Convert to fraction form
    7,780/11,914 = 11,914/x
  3. Step 3: Cross multiply
    7,780x = 11,914 × 11,914
  4. Step 4: Simplify right side
    7,780x = 141,943,396
  5. Step 5: Solve for x
    x = 141,943,396/7,780
  6. Step 6: Final answer
    x = 18,244.65

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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.