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Finding the Third Proportional to 31,088 and 66,568

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Solution

The third proportional to 31,088 and 66,568 is: 142,540.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,088 : 66,568 = 66,568 : x
  2. Step 2: Convert to fraction form
    31,088/66,568 = 66,568/x
  3. Step 3: Cross multiply
    31,088x = 66,568 × 66,568
  4. Step 4: Simplify right side
    31,088x = 4,431,298,624
  5. Step 5: Solve for x
    x = 4,431,298,624/31,088
  6. Step 6: Final answer
    x = 142,540.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.