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Finding the Third Proportional to 11,503.69 and 20,369.81

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Solution

The third proportional to 11,503.69 and 20,369.81 is: 36,069.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,503.69 : 20,369.81 = 20,369.81 : x
  2. Step 2: Convert to fraction form
    11,503.69/20,369.81 = 20,369.81/x
  3. Step 3: Cross multiply
    11,503.69x = 20,369.81 × 20,369.81
  4. Step 4: Simplify right side
    11,503.69x = 414,929,261.29
  5. Step 5: Solve for x
    x = 414,929,261.29/11,503.69
  6. Step 6: Final answer
    x = 36,069.24

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.