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Finding the Third Proportional to 13,783.50 and 20,979

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Solution

The third proportional to 13,783.50 and 20,979 is: 31,930.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.50 : 20,979 = 20,979 : x
  2. Step 2: Convert to fraction form
    13,783.50/20,979 = 20,979/x
  3. Step 3: Cross multiply
    13,783.50x = 20,979 × 20,979
  4. Step 4: Simplify right side
    13,783.50x = 440,118,441
  5. Step 5: Solve for x
    x = 440,118,441/13,783.50
  6. Step 6: Final answer
    x = 31,930.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.