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Finding the Third Proportional to 178,732 and 263,937

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Solution

The third proportional to 178,732 and 263,937 is: 389,760.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,732 : 263,937 = 263,937 : x
  2. Step 2: Convert to fraction form
    178,732/263,937 = 263,937/x
  3. Step 3: Cross multiply
    178,732x = 263,937 × 263,937
  4. Step 4: Simplify right side
    178,732x = 69,662,739,969
  5. Step 5: Solve for x
    x = 69,662,739,969/178,732
  6. Step 6: Final answer
    x = 389,760.87

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.