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Finding the Third Proportional to 20,408.20 and 31,535.58

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Solution

The third proportional to 20,408.20 and 31,535.58 is: 48,730.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,408.20 : 31,535.58 = 31,535.58 : x
  2. Step 2: Convert to fraction form
    20,408.20/31,535.58 = 31,535.58/x
  3. Step 3: Cross multiply
    20,408.20x = 31,535.58 × 31,535.58
  4. Step 4: Simplify right side
    20,408.20x = 994,492,687.68
  5. Step 5: Solve for x
    x = 994,492,687.68/20,408.20
  6. Step 6: Final answer
    x = 48,730.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.