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Finding the Third Proportional to 20,766.38 and 27,428.63

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Solution

The third proportional to 20,766.38 and 27,428.63 is: 36,228.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,766.38 : 27,428.63 = 27,428.63 : x
  2. Step 2: Convert to fraction form
    20,766.38/27,428.63 = 27,428.63/x
  3. Step 3: Cross multiply
    20,766.38x = 27,428.63 × 27,428.63
  4. Step 4: Simplify right side
    20,766.38x = 752,329,469.39
  5. Step 5: Solve for x
    x = 752,329,469.39/20,766.38
  6. Step 6: Final answer
    x = 36,228.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.