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Finding the Third Proportional to 79,072 and 172,740

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Solution

The third proportional to 79,072 and 172,740 is: 377,366.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,072 : 172,740 = 172,740 : x
  2. Step 2: Convert to fraction form
    79,072/172,740 = 172,740/x
  3. Step 3: Cross multiply
    79,072x = 172,740 × 172,740
  4. Step 4: Simplify right side
    79,072x = 29,839,107,600
  5. Step 5: Solve for x
    x = 29,839,107,600/79,072
  6. Step 6: Final answer
    x = 377,366.29

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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.