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Finding the Third Proportional to 120,913 and 251,635

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Solution

The third proportional to 120,913 and 251,635 is: 523,683.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,913 : 251,635 = 251,635 : x
  2. Step 2: Convert to fraction form
    120,913/251,635 = 251,635/x
  3. Step 3: Cross multiply
    120,913x = 251,635 × 251,635
  4. Step 4: Simplify right side
    120,913x = 63,320,173,225
  5. Step 5: Solve for x
    x = 63,320,173,225/120,913
  6. Step 6: Final answer
    x = 523,683.75

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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.