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Finding the Third Proportional to 79,329 and 172,859

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Solution

The third proportional to 79,329 and 172,859 is: 376,662.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,329 : 172,859 = 172,859 : x
  2. Step 2: Convert to fraction form
    79,329/172,859 = 172,859/x
  3. Step 3: Cross multiply
    79,329x = 172,859 × 172,859
  4. Step 4: Simplify right side
    79,329x = 29,880,233,881
  5. Step 5: Solve for x
    x = 29,880,233,881/79,329
  6. Step 6: Final answer
    x = 376,662.18

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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.