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Finding the Third Proportional to 171,129 and 364,425

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Solution

The third proportional to 171,129 and 364,425 is: 776,055.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,129 : 364,425 = 364,425 : x
  2. Step 2: Convert to fraction form
    171,129/364,425 = 364,425/x
  3. Step 3: Cross multiply
    171,129x = 364,425 × 364,425
  4. Step 4: Simplify right side
    171,129x = 132,805,580,625
  5. Step 5: Solve for x
    x = 132,805,580,625/171,129
  6. Step 6: Final answer
    x = 776,055.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.