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Finding the Third Proportional to 128,279.50 and 201,231.25

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Solution

The third proportional to 128,279.50 and 201,231.25 is: 315,670.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,279.50 : 201,231.25 = 201,231.25 : x
  2. Step 2: Convert to fraction form
    128,279.50/201,231.25 = 201,231.25/x
  3. Step 3: Cross multiply
    128,279.50x = 201,231.25 × 201,231.25
  4. Step 4: Simplify right side
    128,279.50x = 40,494,015,976.56
  5. Step 5: Solve for x
    x = 40,494,015,976.56/128,279.50
  6. Step 6: Final answer
    x = 315,670.20

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.