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Finding the Third Proportional to 7,767.75 and 12,205.13

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Solution

The third proportional to 7,767.75 and 12,205.13 is: 19,177.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.75 : 12,205.13 = 12,205.13 : x
  2. Step 2: Convert to fraction form
    7,767.75/12,205.13 = 12,205.13/x
  3. Step 3: Cross multiply
    7,767.75x = 12,205.13 × 12,205.13
  4. Step 4: Simplify right side
    7,767.75x = 148,965,076.27
  5. Step 5: Solve for x
    x = 148,965,076.27/7,767.75
  6. Step 6: Final answer
    x = 19,177.38

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.