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Finding the Third Proportional to 178,562 and 392,836

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Solution

The third proportional to 178,562 and 392,836 is: 864,238.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,562 : 392,836 = 392,836 : x
  2. Step 2: Convert to fraction form
    178,562/392,836 = 392,836/x
  3. Step 3: Cross multiply
    178,562x = 392,836 × 392,836
  4. Step 4: Simplify right side
    178,562x = 154,320,122,896
  5. Step 5: Solve for x
    x = 154,320,122,896/178,562
  6. Step 6: Final answer
    x = 864,238.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.