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Finding the Third Proportional to 20,801.81 and 30,653.44

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Solution

The third proportional to 20,801.81 and 30,653.44 is: 45,170.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,801.81 : 30,653.44 = 30,653.44 : x
  2. Step 2: Convert to fraction form
    20,801.81/30,653.44 = 30,653.44/x
  3. Step 3: Cross multiply
    20,801.81x = 30,653.44 × 30,653.44
  4. Step 4: Simplify right side
    20,801.81x = 939,633,230.57
  5. Step 5: Solve for x
    x = 939,633,230.57/20,801.81
  6. Step 6: Final answer
    x = 45,170.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.