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Finding the Third Proportional to 166,128 and 250,920

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Solution

The third proportional to 166,128 and 250,920 is: 378,989.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,128 : 250,920 = 250,920 : x
  2. Step 2: Convert to fraction form
    166,128/250,920 = 250,920/x
  3. Step 3: Cross multiply
    166,128x = 250,920 × 250,920
  4. Step 4: Simplify right side
    166,128x = 62,960,846,400
  5. Step 5: Solve for x
    x = 62,960,846,400/166,128
  6. Step 6: Final answer
    x = 378,989.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.