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Finding the Third Proportional to 31,288 and 68,083

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Solution

The third proportional to 31,288 and 68,083 is: 148,149.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,288 : 68,083 = 68,083 : x
  2. Step 2: Convert to fraction form
    31,288/68,083 = 68,083/x
  3. Step 3: Cross multiply
    31,288x = 68,083 × 68,083
  4. Step 4: Simplify right side
    31,288x = 4,635,294,889
  5. Step 5: Solve for x
    x = 4,635,294,889/31,288
  6. Step 6: Final answer
    x = 148,149.29

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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.