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Finding the Third Proportional to 9,966.80 and 13,520.67

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Solution

The third proportional to 9,966.80 and 13,520.67 is: 18,341.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.80 : 13,520.67 = 13,520.67 : x
  2. Step 2: Convert to fraction form
    9,966.80/13,520.67 = 13,520.67/x
  3. Step 3: Cross multiply
    9,966.80x = 13,520.67 × 13,520.67
  4. Step 4: Simplify right side
    9,966.80x = 182,808,567.95
  5. Step 5: Solve for x
    x = 182,808,567.95/9,966.80
  6. Step 6: Final answer
    x = 18,341.76

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.