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Finding the Third Proportional to 171,915.75 and 378,101.25

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Solution

The third proportional to 171,915.75 and 378,101.25 is: 831,573.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,915.75 : 378,101.25 = 378,101.25 : x
  2. Step 2: Convert to fraction form
    171,915.75/378,101.25 = 378,101.25/x
  3. Step 3: Cross multiply
    171,915.75x = 378,101.25 × 378,101.25
  4. Step 4: Simplify right side
    171,915.75x = 142,960,555,251.56
  5. Step 5: Solve for x
    x = 142,960,555,251.56/171,915.75
  6. Step 6: Final answer
    x = 831,573.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.