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Finding the Third Proportional to 8,631.75 and 13,329.38

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Solution

The third proportional to 8,631.75 and 13,329.38 is: 20,583.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,631.75 : 13,329.38 = 13,329.38 : x
  2. Step 2: Convert to fraction form
    8,631.75/13,329.38 = 13,329.38/x
  3. Step 3: Cross multiply
    8,631.75x = 13,329.38 × 13,329.38
  4. Step 4: Simplify right side
    8,631.75x = 177,672,237.89
  5. Step 5: Solve for x
    x = 177,672,237.89/8,631.75
  6. Step 6: Final answer
    x = 20,583.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.