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Finding the Third Proportional to 79,915 and 133,174

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Solution

The third proportional to 79,915 and 133,174 is: 221,927.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,915 : 133,174 = 133,174 : x
  2. Step 2: Convert to fraction form
    79,915/133,174 = 133,174/x
  3. Step 3: Cross multiply
    79,915x = 133,174 × 133,174
  4. Step 4: Simplify right side
    79,915x = 17,735,314,276
  5. Step 5: Solve for x
    x = 17,735,314,276/79,915
  6. Step 6: Final answer
    x = 221,927.23

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.