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Finding the Third Proportional to 178,586 and 392,884

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Solution

The third proportional to 178,586 and 392,884 is: 864,333.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,586 : 392,884 = 392,884 : x
  2. Step 2: Convert to fraction form
    178,586/392,884 = 392,884/x
  3. Step 3: Cross multiply
    178,586x = 392,884 × 392,884
  4. Step 4: Simplify right side
    178,586x = 154,357,837,456
  5. Step 5: Solve for x
    x = 154,357,837,456/178,586
  6. Step 6: Final answer
    x = 864,333.36

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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.