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Finding the Third Proportional to 13,311.84 and 20,358.84

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Solution

The third proportional to 13,311.84 and 20,358.84 is: 31,136.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,311.84 : 20,358.84 = 20,358.84 : x
  2. Step 2: Convert to fraction form
    13,311.84/20,358.84 = 20,358.84/x
  3. Step 3: Cross multiply
    13,311.84x = 20,358.84 × 20,358.84
  4. Step 4: Simplify right side
    13,311.84x = 414,482,518.84
  5. Step 5: Solve for x
    x = 414,482,518.84/13,311.84
  6. Step 6: Final answer
    x = 31,136.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.