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Finding the Third Proportional to 8,672.81 and 11,529.84

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Solution

The third proportional to 8,672.81 and 11,529.84 is: 15,328.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,672.81 : 11,529.84 = 11,529.84 : x
  2. Step 2: Convert to fraction form
    8,672.81/11,529.84 = 11,529.84/x
  3. Step 3: Cross multiply
    8,672.81x = 11,529.84 × 11,529.84
  4. Step 4: Simplify right side
    8,672.81x = 132,937,296.90
  5. Step 5: Solve for x
    x = 132,937,296.90/8,672.81
  6. Step 6: Final answer
    x = 15,328.05

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.