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Finding the Third Proportional to 31,955.50 and 68,009

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Solution

The third proportional to 31,955.50 and 68,009 is: 144,739.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,955.50 : 68,009 = 68,009 : x
  2. Step 2: Convert to fraction form
    31,955.50/68,009 = 68,009/x
  3. Step 3: Cross multiply
    31,955.50x = 68,009 × 68,009
  4. Step 4: Simplify right side
    31,955.50x = 4,625,224,081
  5. Step 5: Solve for x
    x = 4,625,224,081/31,955.50
  6. Step 6: Final answer
    x = 144,739.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.