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Finding the Third Proportional to 178,728 and 263,931

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Solution

The third proportional to 178,728 and 263,931 is: 389,751.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,728 : 263,931 = 263,931 : x
  2. Step 2: Convert to fraction form
    178,728/263,931 = 263,931/x
  3. Step 3: Cross multiply
    178,728x = 263,931 × 263,931
  4. Step 4: Simplify right side
    178,728x = 69,659,572,761
  5. Step 5: Solve for x
    x = 69,659,572,761/178,728
  6. Step 6: Final answer
    x = 389,751.87

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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.