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Finding the Third Proportional to 79,600 and 167,840

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Solution

The third proportional to 79,600 and 167,840 is: 353,897.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,600 : 167,840 = 167,840 : x
  2. Step 2: Convert to fraction form
    79,600/167,840 = 167,840/x
  3. Step 3: Cross multiply
    79,600x = 167,840 × 167,840
  4. Step 4: Simplify right side
    79,600x = 28,170,265,600
  5. Step 5: Solve for x
    x = 28,170,265,600/79,600
  6. Step 6: Final answer
    x = 353,897.81

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.