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Finding the Third Proportional to 120,914 and 251,637

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Solution

The third proportional to 120,914 and 251,637 is: 523,687.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,914 : 251,637 = 251,637 : x
  2. Step 2: Convert to fraction form
    120,914/251,637 = 251,637/x
  3. Step 3: Cross multiply
    120,914x = 251,637 × 251,637
  4. Step 4: Simplify right side
    120,914x = 63,321,179,769
  5. Step 5: Solve for x
    x = 63,321,179,769/120,914
  6. Step 6: Final answer
    x = 523,687.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.