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Finding the Third Proportional to 120,452 and 259,407

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Solution

The third proportional to 120,452 and 259,407 is: 558,662.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,452 : 259,407 = 259,407 : x
  2. Step 2: Convert to fraction form
    120,452/259,407 = 259,407/x
  3. Step 3: Cross multiply
    120,452x = 259,407 × 259,407
  4. Step 4: Simplify right side
    120,452x = 67,291,991,649
  5. Step 5: Solve for x
    x = 67,291,991,649/120,452
  6. Step 6: Final answer
    x = 558,662.30

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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.