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Finding the Third Proportional to 76,104 and 163,920

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Solution

The third proportional to 76,104 and 163,920 is: 353,066.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,104 : 163,920 = 163,920 : x
  2. Step 2: Convert to fraction form
    76,104/163,920 = 163,920/x
  3. Step 3: Cross multiply
    76,104x = 163,920 × 163,920
  4. Step 4: Simplify right side
    76,104x = 26,869,766,400
  5. Step 5: Solve for x
    x = 26,869,766,400/76,104
  6. Step 6: Final answer
    x = 353,066.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.