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Finding the Third Proportional to 7,700 and 11,011

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Solution

The third proportional to 7,700 and 11,011 is: 15,745.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700 : 11,011 = 11,011 : x
  2. Step 2: Convert to fraction form
    7,700/11,011 = 11,011/x
  3. Step 3: Cross multiply
    7,700x = 11,011 × 11,011
  4. Step 4: Simplify right side
    7,700x = 121,242,121
  5. Step 5: Solve for x
    x = 121,242,121/7,700
  6. Step 6: Final answer
    x = 15,745.73

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.