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Finding the Third Proportional to 20,682 and 27,742.50

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Solution

The third proportional to 20,682 and 27,742.50 is: 37,213.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,682 : 27,742.50 = 27,742.50 : x
  2. Step 2: Convert to fraction form
    20,682/27,742.50 = 27,742.50/x
  3. Step 3: Cross multiply
    20,682x = 27,742.50 × 27,742.50
  4. Step 4: Simplify right side
    20,682x = 769,646,306.25
  5. Step 5: Solve for x
    x = 769,646,306.25/20,682
  6. Step 6: Final answer
    x = 37,213.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.