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Finding the Third Proportional to 163,920 and 354,084

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Solution

The third proportional to 163,920 and 354,084 is: 764,857.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,920 : 354,084 = 354,084 : x
  2. Step 2: Convert to fraction form
    163,920/354,084 = 354,084/x
  3. Step 3: Cross multiply
    163,920x = 354,084 × 354,084
  4. Step 4: Simplify right side
    163,920x = 125,375,479,056
  5. Step 5: Solve for x
    x = 125,375,479,056/163,920
  6. Step 6: Final answer
    x = 764,857.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.