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Finding the Third Proportional to 138,611.25 and 200,328.75

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Solution

The third proportional to 138,611.25 and 200,328.75 is: 289,526.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,611.25 : 200,328.75 = 200,328.75 : x
  2. Step 2: Convert to fraction form
    138,611.25/200,328.75 = 200,328.75/x
  3. Step 3: Cross multiply
    138,611.25x = 200,328.75 × 200,328.75
  4. Step 4: Simplify right side
    138,611.25x = 40,131,608,076.56
  5. Step 5: Solve for x
    x = 40,131,608,076.56/138,611.25
  6. Step 6: Final answer
    x = 289,526.34

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.