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Finding the Third Proportional to 120,827 and 259,147

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Solution

The third proportional to 120,827 and 259,147 is: 555,812.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,827 : 259,147 = 259,147 : x
  2. Step 2: Convert to fraction form
    120,827/259,147 = 259,147/x
  3. Step 3: Cross multiply
    120,827x = 259,147 × 259,147
  4. Step 4: Simplify right side
    120,827x = 67,157,167,609
  5. Step 5: Solve for x
    x = 67,157,167,609/120,827
  6. Step 6: Final answer
    x = 555,812.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.