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Finding the Third Proportional to 20,506.50 and 33,486.75

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Solution

The third proportional to 20,506.50 and 33,486.75 is: 54,683.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,506.50 : 33,486.75 = 33,486.75 : x
  2. Step 2: Convert to fraction form
    20,506.50/33,486.75 = 33,486.75/x
  3. Step 3: Cross multiply
    20,506.50x = 33,486.75 × 33,486.75
  4. Step 4: Simplify right side
    20,506.50x = 1,121,362,425.56
  5. Step 5: Solve for x
    x = 1,121,362,425.56/20,506.50
  6. Step 6: Final answer
    x = 54,683.27

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.