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Finding the Third Proportional to 172,186 and 365,214

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Solution

The third proportional to 172,186 and 365,214 is: 774,634.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,186 : 365,214 = 365,214 : x
  2. Step 2: Convert to fraction form
    172,186/365,214 = 365,214/x
  3. Step 3: Cross multiply
    172,186x = 365,214 × 365,214
  4. Step 4: Simplify right side
    172,186x = 133,381,265,796
  5. Step 5: Solve for x
    x = 133,381,265,796/172,186
  6. Step 6: Final answer
    x = 774,634.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.