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Finding the Third Proportional to 3,177 and 7,698.50

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Solution

The third proportional to 3,177 and 7,698.50 is: 18,654.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177 : 7,698.50 = 7,698.50 : x
  2. Step 2: Convert to fraction form
    3,177/7,698.50 = 7,698.50/x
  3. Step 3: Cross multiply
    3,177x = 7,698.50 × 7,698.50
  4. Step 4: Simplify right side
    3,177x = 59,266,902.25
  5. Step 5: Solve for x
    x = 59,266,902.25/3,177
  6. Step 6: Final answer
    x = 18,654.99

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.