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Finding the Third Proportional to 7,780 and 11,400

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Solution

The third proportional to 7,780 and 11,400 is: 16,704.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780 : 11,400 = 11,400 : x
  2. Step 2: Convert to fraction form
    7,780/11,400 = 11,400/x
  3. Step 3: Cross multiply
    7,780x = 11,400 × 11,400
  4. Step 4: Simplify right side
    7,780x = 129,960,000
  5. Step 5: Solve for x
    x = 129,960,000/7,780
  6. Step 6: Final answer
    x = 16,704.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.