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Finding the Third Proportional to 7,318.50 and 11,352.75

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Solution

The third proportional to 7,318.50 and 11,352.75 is: 17,610.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,318.50 : 11,352.75 = 11,352.75 : x
  2. Step 2: Convert to fraction form
    7,318.50/11,352.75 = 11,352.75/x
  3. Step 3: Cross multiply
    7,318.50x = 11,352.75 × 11,352.75
  4. Step 4: Simplify right side
    7,318.50x = 128,884,932.56
  5. Step 5: Solve for x
    x = 128,884,932.56/7,318.50
  6. Step 6: Final answer
    x = 17,610.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.