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Finding the Third Proportional to 20,658.38 and 27,281.81

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Solution

The third proportional to 20,658.38 and 27,281.81 is: 36,028.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,658.38 : 27,281.81 = 27,281.81 : x
  2. Step 2: Convert to fraction form
    20,658.38/27,281.81 = 27,281.81/x
  3. Step 3: Cross multiply
    20,658.38x = 27,281.81 × 27,281.81
  4. Step 4: Simplify right side
    20,658.38x = 744,297,293.29
  5. Step 5: Solve for x
    x = 744,297,293.29/20,658.38
  6. Step 6: Final answer
    x = 36,028.84

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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.