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Finding the Third Proportional to 31,568 and 68,032

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Solution

The third proportional to 31,568 and 68,032 is: 146,615.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,568 : 68,032 = 68,032 : x
  2. Step 2: Convert to fraction form
    31,568/68,032 = 68,032/x
  3. Step 3: Cross multiply
    31,568x = 68,032 × 68,032
  4. Step 4: Simplify right side
    31,568x = 4,628,353,024
  5. Step 5: Solve for x
    x = 4,628,353,024/31,568
  6. Step 6: Final answer
    x = 146,615.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.