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Finding the Third Proportional to 31,538.25 and 65,999.25

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Solution

The third proportional to 31,538.25 and 65,999.25 is: 138,114.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,538.25 : 65,999.25 = 65,999.25 : x
  2. Step 2: Convert to fraction form
    31,538.25/65,999.25 = 65,999.25/x
  3. Step 3: Cross multiply
    31,538.25x = 65,999.25 × 65,999.25
  4. Step 4: Simplify right side
    31,538.25x = 4,355,901,000.56
  5. Step 5: Solve for x
    x = 4,355,901,000.56/31,538.25
  6. Step 6: Final answer
    x = 138,114.86

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.