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Finding the Third Proportional to 20,286.75 and 31,200.75

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Solution

The third proportional to 20,286.75 and 31,200.75 is: 47,986.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,286.75 : 31,200.75 = 31,200.75 : x
  2. Step 2: Convert to fraction form
    20,286.75/31,200.75 = 31,200.75/x
  3. Step 3: Cross multiply
    20,286.75x = 31,200.75 × 31,200.75
  4. Step 4: Simplify right side
    20,286.75x = 973,486,800.56
  5. Step 5: Solve for x
    x = 973,486,800.56/20,286.75
  6. Step 6: Final answer
    x = 47,986.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.