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Finding the Third Proportional to 172,006 and 364,909

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Solution

The third proportional to 172,006 and 364,909 is: 774,150.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,006 : 364,909 = 364,909 : x
  2. Step 2: Convert to fraction form
    172,006/364,909 = 364,909/x
  3. Step 3: Cross multiply
    172,006x = 364,909 × 364,909
  4. Step 4: Simplify right side
    172,006x = 133,158,578,281
  5. Step 5: Solve for x
    x = 133,158,578,281/172,006
  6. Step 6: Final answer
    x = 774,150.78

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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.