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Finding the Third Proportional to 31,491.75 and 69,127

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Solution

The third proportional to 31,491.75 and 69,127 is: 151,739.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,491.75 : 69,127 = 69,127 : x
  2. Step 2: Convert to fraction form
    31,491.75/69,127 = 69,127/x
  3. Step 3: Cross multiply
    31,491.75x = 69,127 × 69,127
  4. Step 4: Simplify right side
    31,491.75x = 4,778,542,129
  5. Step 5: Solve for x
    x = 4,778,542,129/31,491.75
  6. Step 6: Final answer
    x = 151,739.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.