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Finding the Third Proportional to 172,858 and 369,692

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Solution

The third proportional to 172,858 and 369,692 is: 790,661.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,858 : 369,692 = 369,692 : x
  2. Step 2: Convert to fraction form
    172,858/369,692 = 369,692/x
  3. Step 3: Cross multiply
    172,858x = 369,692 × 369,692
  4. Step 4: Simplify right side
    172,858x = 136,672,174,864
  5. Step 5: Solve for x
    x = 136,672,174,864/172,858
  6. Step 6: Final answer
    x = 790,661.55

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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.