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Finding the Third Proportional to 20,121.75 and 31,343.63

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Solution

The third proportional to 20,121.75 and 31,343.63 is: 48,823.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,121.75 : 31,343.63 = 31,343.63 : x
  2. Step 2: Convert to fraction form
    20,121.75/31,343.63 = 31,343.63/x
  3. Step 3: Cross multiply
    20,121.75x = 31,343.63 × 31,343.63
  4. Step 4: Simplify right side
    20,121.75x = 982,422,828.14
  5. Step 5: Solve for x
    x = 982,422,828.14/20,121.75
  6. Step 6: Final answer
    x = 48,823.93

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.