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Finding the Third Proportional to 7,681.50 and 11,817.56

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Solution

The third proportional to 7,681.50 and 11,817.56 is: 18,180.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,681.50 : 11,817.56 = 11,817.56 : x
  2. Step 2: Convert to fraction form
    7,681.50/11,817.56 = 11,817.56/x
  3. Step 3: Cross multiply
    7,681.50x = 11,817.56 × 11,817.56
  4. Step 4: Simplify right side
    7,681.50x = 139,654,783.44
  5. Step 5: Solve for x
    x = 139,654,783.44/7,681.50
  6. Step 6: Final answer
    x = 18,180.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.