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Finding the Third Proportional to 65,015.25 and 135,185.25

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Solution

The third proportional to 65,015.25 and 135,185.25 is: 281,088.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,015.25 : 135,185.25 = 135,185.25 : x
  2. Step 2: Convert to fraction form
    65,015.25/135,185.25 = 135,185.25/x
  3. Step 3: Cross multiply
    65,015.25x = 135,185.25 × 135,185.25
  4. Step 4: Simplify right side
    65,015.25x = 18,275,051,817.56
  5. Step 5: Solve for x
    x = 18,275,051,817.56/65,015.25
  6. Step 6: Final answer
    x = 281,088.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.