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Finding the Third Proportional to 81,392 and 173,296

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Solution

The third proportional to 81,392 and 173,296 is: 368,973.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,392 : 173,296 = 173,296 : x
  2. Step 2: Convert to fraction form
    81,392/173,296 = 173,296/x
  3. Step 3: Cross multiply
    81,392x = 173,296 × 173,296
  4. Step 4: Simplify right side
    81,392x = 30,031,503,616
  5. Step 5: Solve for x
    x = 30,031,503,616/81,392
  6. Step 6: Final answer
    x = 368,973.65

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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.