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Finding the Third Proportional to 120,462 and 259,425

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Solution

The third proportional to 120,462 and 259,425 is: 558,693.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,462 : 259,425 = 259,425 : x
  2. Step 2: Convert to fraction form
    120,462/259,425 = 259,425/x
  3. Step 3: Cross multiply
    120,462x = 259,425 × 259,425
  4. Step 4: Simplify right side
    120,462x = 67,301,330,625
  5. Step 5: Solve for x
    x = 67,301,330,625/120,462
  6. Step 6: Final answer
    x = 558,693.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.