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Finding the Third Proportional to 81,932 and 173,464

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Solution

The third proportional to 81,932 and 173,464 is: 367,252.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,932 : 173,464 = 173,464 : x
  2. Step 2: Convert to fraction form
    81,932/173,464 = 173,464/x
  3. Step 3: Cross multiply
    81,932x = 173,464 × 173,464
  4. Step 4: Simplify right side
    81,932x = 30,089,759,296
  5. Step 5: Solve for x
    x = 30,089,759,296/81,932
  6. Step 6: Final answer
    x = 367,252.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.