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Finding the Third Proportional to 251,880 and 393,132

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Solution

The third proportional to 251,880 and 393,132 is: 613,596.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,880 : 393,132 = 393,132 : x
  2. Step 2: Convert to fraction form
    251,880/393,132 = 393,132/x
  3. Step 3: Cross multiply
    251,880x = 393,132 × 393,132
  4. Step 4: Simplify right side
    251,880x = 154,552,769,424
  5. Step 5: Solve for x
    x = 154,552,769,424/251,880
  6. Step 6: Final answer
    x = 613,596.83

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.