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Finding the Third Proportional to 172,996 and 380,071

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Solution

The third proportional to 172,996 and 380,071 is: 835,013.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,996 : 380,071 = 380,071 : x
  2. Step 2: Convert to fraction form
    172,996/380,071 = 380,071/x
  3. Step 3: Cross multiply
    172,996x = 380,071 × 380,071
  4. Step 4: Simplify right side
    172,996x = 144,453,965,041
  5. Step 5: Solve for x
    x = 144,453,965,041/172,996
  6. Step 6: Final answer
    x = 835,013.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.