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Finding the Third Proportional to 109,180 and 163,920

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Solution

The third proportional to 109,180 and 163,920 is: 246,105.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,180 : 163,920 = 163,920 : x
  2. Step 2: Convert to fraction form
    109,180/163,920 = 163,920/x
  3. Step 3: Cross multiply
    109,180x = 163,920 × 163,920
  4. Step 4: Simplify right side
    109,180x = 26,869,766,400
  5. Step 5: Solve for x
    x = 26,869,766,400/109,180
  6. Step 6: Final answer
    x = 246,105.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.