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Finding the Third Proportional to 8,489.50 and 18,437.52

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Solution

The third proportional to 8,489.50 and 18,437.52 is: 40,042.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.50 : 18,437.52 = 18,437.52 : x
  2. Step 2: Convert to fraction form
    8,489.50/18,437.52 = 18,437.52/x
  3. Step 3: Cross multiply
    8,489.50x = 18,437.52 × 18,437.52
  4. Step 4: Simplify right side
    8,489.50x = 339,942,126.47
  5. Step 5: Solve for x
    x = 339,942,126.47/8,489.50
  6. Step 6: Final answer
    x = 40,042.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.