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Finding the Third Proportional to 20,272.46 and 31,177.56

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Solution

The third proportional to 20,272.46 and 31,177.56 is: 47,948.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,272.46 : 31,177.56 = 31,177.56 : x
  2. Step 2: Convert to fraction form
    20,272.46/31,177.56 = 31,177.56/x
  3. Step 3: Cross multiply
    20,272.46x = 31,177.56 × 31,177.56
  4. Step 4: Simplify right side
    20,272.46x = 972,040,525.23
  5. Step 5: Solve for x
    x = 972,040,525.23/20,272.46
  6. Step 6: Final answer
    x = 47,948.81

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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.