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Finding the Third Proportional to 178,992 and 389,526

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Solution

The third proportional to 178,992 and 389,526 is: 847,694.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,992 : 389,526 = 389,526 : x
  2. Step 2: Convert to fraction form
    178,992/389,526 = 389,526/x
  3. Step 3: Cross multiply
    178,992x = 389,526 × 389,526
  4. Step 4: Simplify right side
    178,992x = 151,730,504,676
  5. Step 5: Solve for x
    x = 151,730,504,676/178,992
  6. Step 6: Final answer
    x = 847,694.34

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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.