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Finding the Third Proportional to 13,712.44 and 20,478.94

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Solution

The third proportional to 13,712.44 and 20,478.94 is: 30,584.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,712.44 : 20,478.94 = 20,478.94 : x
  2. Step 2: Convert to fraction form
    13,712.44/20,478.94 = 20,478.94/x
  3. Step 3: Cross multiply
    13,712.44x = 20,478.94 × 20,478.94
  4. Step 4: Simplify right side
    13,712.44x = 419,386,881.13
  5. Step 5: Solve for x
    x = 419,386,881.13/13,712.44
  6. Step 6: Final answer
    x = 30,584.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.