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Finding the Third Proportional to 251,034 and 351,123

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Solution

The third proportional to 251,034 and 351,123 is: 491,118.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,034 : 351,123 = 351,123 : x
  2. Step 2: Convert to fraction form
    251,034/351,123 = 351,123/x
  3. Step 3: Cross multiply
    251,034x = 351,123 × 351,123
  4. Step 4: Simplify right side
    251,034x = 123,287,361,129
  5. Step 5: Solve for x
    x = 123,287,361,129/251,034
  6. Step 6: Final answer
    x = 491,118.18

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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.