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Finding the Third Proportional to 251,028 and 351,114

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Solution

The third proportional to 251,028 and 351,114 is: 491,104.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,028 : 351,114 = 351,114 : x
  2. Step 2: Convert to fraction form
    251,028/351,114 = 351,114/x
  3. Step 3: Cross multiply
    251,028x = 351,114 × 351,114
  4. Step 4: Simplify right side
    251,028x = 123,281,040,996
  5. Step 5: Solve for x
    x = 123,281,040,996/251,028
  6. Step 6: Final answer
    x = 491,104.74

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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.