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Finding the Third Proportional to 178,769 and 393,077

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Solution

The third proportional to 178,769 and 393,077 is: 864,297.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,769 : 393,077 = 393,077 : x
  2. Step 2: Convert to fraction form
    178,769/393,077 = 393,077/x
  3. Step 3: Cross multiply
    178,769x = 393,077 × 393,077
  4. Step 4: Simplify right side
    178,769x = 154,509,527,929
  5. Step 5: Solve for x
    x = 154,509,527,929/178,769
  6. Step 6: Final answer
    x = 864,297.10

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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.