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Finding the Third Proportional to 7,171.88 and 9,618.75

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Solution

The third proportional to 7,171.88 and 9,618.75 is: 12,900.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.88 : 9,618.75 = 9,618.75 : x
  2. Step 2: Convert to fraction form
    7,171.88/9,618.75 = 9,618.75/x
  3. Step 3: Cross multiply
    7,171.88x = 9,618.75 × 9,618.75
  4. Step 4: Simplify right side
    7,171.88x = 92,520,351.56
  5. Step 5: Solve for x
    x = 92,520,351.56/7,171.88
  6. Step 6: Final answer
    x = 12,900.44

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.