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Finding the Third Proportional to 77,120 and 167,920

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Solution

The third proportional to 77,120 and 167,920 is: 365,626.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,120 : 167,920 = 167,920 : x
  2. Step 2: Convert to fraction form
    77,120/167,920 = 167,920/x
  3. Step 3: Cross multiply
    77,120x = 167,920 × 167,920
  4. Step 4: Simplify right side
    77,120x = 28,197,126,400
  5. Step 5: Solve for x
    x = 28,197,126,400/77,120
  6. Step 6: Final answer
    x = 365,626.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.