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Finding the Third Proportional to 8,205.05 and 12,729.45

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Solution

The third proportional to 8,205.05 and 12,729.45 is: 19,748.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.05 : 12,729.45 = 12,729.45 : x
  2. Step 2: Convert to fraction form
    8,205.05/12,729.45 = 12,729.45/x
  3. Step 3: Cross multiply
    8,205.05x = 12,729.45 × 12,729.45
  4. Step 4: Simplify right side
    8,205.05x = 162,038,777.96
  5. Step 5: Solve for x
    x = 162,038,777.96/8,205.05
  6. Step 6: Final answer
    x = 19,748.67

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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.