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Finding the Third Proportional to 20,202.75 and 31,708.13

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Solution

The third proportional to 20,202.75 and 31,708.13 is: 49,765.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,202.75 : 31,708.13 = 31,708.13 : x
  2. Step 2: Convert to fraction form
    20,202.75/31,708.13 = 31,708.13/x
  3. Step 3: Cross multiply
    20,202.75x = 31,708.13 × 31,708.13
  4. Step 4: Simplify right side
    20,202.75x = 1,005,405,191.02
  5. Step 5: Solve for x
    x = 1,005,405,191.02/20,202.75
  6. Step 6: Final answer
    x = 49,765.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.