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Finding the Third Proportional to 31,383 and 69,765.75

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Solution

The third proportional to 31,383 and 69,765.75 is: 155,092.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,383 : 69,765.75 = 69,765.75 : x
  2. Step 2: Convert to fraction form
    31,383/69,765.75 = 69,765.75/x
  3. Step 3: Cross multiply
    31,383x = 69,765.75 × 69,765.75
  4. Step 4: Simplify right side
    31,383x = 4,867,259,873.06
  5. Step 5: Solve for x
    x = 4,867,259,873.06/31,383
  6. Step 6: Final answer
    x = 155,092.24

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.