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Finding the Third Proportional to 79,229 and 172,674

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Solution

The third proportional to 79,229 and 172,674 is: 376,330.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,229 : 172,674 = 172,674 : x
  2. Step 2: Convert to fraction form
    79,229/172,674 = 172,674/x
  3. Step 3: Cross multiply
    79,229x = 172,674 × 172,674
  4. Step 4: Simplify right side
    79,229x = 29,816,310,276
  5. Step 5: Solve for x
    x = 29,816,310,276/79,229
  6. Step 6: Final answer
    x = 376,330.77

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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.