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Finding the Third Proportional to 172,137 and 369,177

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Solution

The third proportional to 172,137 and 369,177 is: 791,762.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,137 : 369,177 = 369,177 : x
  2. Step 2: Convert to fraction form
    172,137/369,177 = 369,177/x
  3. Step 3: Cross multiply
    172,137x = 369,177 × 369,177
  4. Step 4: Simplify right side
    172,137x = 136,291,657,329
  5. Step 5: Solve for x
    x = 136,291,657,329/172,137
  6. Step 6: Final answer
    x = 791,762.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.