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Finding the Third Proportional to 79,972 and 173,768

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Solution

The third proportional to 79,972 and 173,768 is: 377,573.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,972 : 173,768 = 173,768 : x
  2. Step 2: Convert to fraction form
    79,972/173,768 = 173,768/x
  3. Step 3: Cross multiply
    79,972x = 173,768 × 173,768
  4. Step 4: Simplify right side
    79,972x = 30,195,317,824
  5. Step 5: Solve for x
    x = 30,195,317,824/79,972
  6. Step 6: Final answer
    x = 377,573.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.