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Finding the Third Proportional to 13,878 and 20,328.75

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Solution

The third proportional to 13,878 and 20,328.75 is: 29,777.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,878 : 20,328.75 = 20,328.75 : x
  2. Step 2: Convert to fraction form
    13,878/20,328.75 = 20,328.75/x
  3. Step 3: Cross multiply
    13,878x = 20,328.75 × 20,328.75
  4. Step 4: Simplify right side
    13,878x = 413,258,076.56
  5. Step 5: Solve for x
    x = 413,258,076.56/13,878
  6. Step 6: Final answer
    x = 29,777.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.