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Finding the Third Proportional to 31,351.22 and 68,237.86

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Solution

The third proportional to 31,351.22 and 68,237.86 is: 148,523.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,351.22 : 68,237.86 = 68,237.86 : x
  2. Step 2: Convert to fraction form
    31,351.22/68,237.86 = 68,237.86/x
  3. Step 3: Cross multiply
    31,351.22x = 68,237.86 × 68,237.86
  4. Step 4: Simplify right side
    31,351.22x = 4,656,405,452.08
  5. Step 5: Solve for x
    x = 4,656,405,452.08/31,351.22
  6. Step 6: Final answer
    x = 148,523.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.