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Finding the Third Proportional to 79,638 and 166,944

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Solution

The third proportional to 79,638 and 166,944 is: 349,962.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,638 : 166,944 = 166,944 : x
  2. Step 2: Convert to fraction form
    79,638/166,944 = 166,944/x
  3. Step 3: Cross multiply
    79,638x = 166,944 × 166,944
  4. Step 4: Simplify right side
    79,638x = 27,870,299,136
  5. Step 5: Solve for x
    x = 27,870,299,136/79,638
  6. Step 6: Final answer
    x = 349,962.32

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.