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Finding the Third Proportional to 186,992 and 408,256

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Solution

The third proportional to 186,992 and 408,256 is: 891,337.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,992 : 408,256 = 408,256 : x
  2. Step 2: Convert to fraction form
    186,992/408,256 = 408,256/x
  3. Step 3: Cross multiply
    186,992x = 408,256 × 408,256
  4. Step 4: Simplify right side
    186,992x = 166,672,961,536
  5. Step 5: Solve for x
    x = 166,672,961,536/186,992
  6. Step 6: Final answer
    x = 891,337.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.