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Finding the Third Proportional to 79,960 and 172,018

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Solution

The third proportional to 79,960 and 172,018 is: 370,062.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,960 : 172,018 = 172,018 : x
  2. Step 2: Convert to fraction form
    79,960/172,018 = 172,018/x
  3. Step 3: Cross multiply
    79,960x = 172,018 × 172,018
  4. Step 4: Simplify right side
    79,960x = 29,590,192,324
  5. Step 5: Solve for x
    x = 29,590,192,324/79,960
  6. Step 6: Final answer
    x = 370,062.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.