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Finding the Third Proportional to 171,138 and 372,108

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Solution

The third proportional to 171,138 and 372,108 is: 809,080.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,138 : 372,108 = 372,108 : x
  2. Step 2: Convert to fraction form
    171,138/372,108 = 372,108/x
  3. Step 3: Cross multiply
    171,138x = 372,108 × 372,108
  4. Step 4: Simplify right side
    171,138x = 138,464,363,664
  5. Step 5: Solve for x
    x = 138,464,363,664/171,138
  6. Step 6: Final answer
    x = 809,080.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.