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Finding the Third Proportional to 251,052 and 351,144

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Solution

The third proportional to 251,052 and 351,144 is: 491,141.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,052 : 351,144 = 351,144 : x
  2. Step 2: Convert to fraction form
    251,052/351,144 = 351,144/x
  3. Step 3: Cross multiply
    251,052x = 351,144 × 351,144
  4. Step 4: Simplify right side
    251,052x = 123,302,108,736
  5. Step 5: Solve for x
    x = 123,302,108,736/251,052
  6. Step 6: Final answer
    x = 491,141.71

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.