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Finding the Third Proportional to 13,812.19 and 18,409.78

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Solution

The third proportional to 13,812.19 and 18,409.78 is: 24,537.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,812.19 : 18,409.78 = 18,409.78 : x
  2. Step 2: Convert to fraction form
    13,812.19/18,409.78 = 18,409.78/x
  3. Step 3: Cross multiply
    13,812.19x = 18,409.78 × 18,409.78
  4. Step 4: Simplify right side
    13,812.19x = 338,920,045.67
  5. Step 5: Solve for x
    x = 338,920,045.67/13,812.19
  6. Step 6: Final answer
    x = 24,537.75

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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.