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Finding the Third Proportional to 9,405 and 13,147.50

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Solution

The third proportional to 9,405 and 13,147.50 is: 18,379.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405 : 13,147.50 = 13,147.50 : x
  2. Step 2: Convert to fraction form
    9,405/13,147.50 = 13,147.50/x
  3. Step 3: Cross multiply
    9,405x = 13,147.50 × 13,147.50
  4. Step 4: Simplify right side
    9,405x = 172,856,756.25
  5. Step 5: Solve for x
    x = 172,856,756.25/9,405
  6. Step 6: Final answer
    x = 18,379.24

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.