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Finding the Third Proportional to 122,404 and 259,388

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Solution

The third proportional to 122,404 and 259,388 is: 549,672.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,404 : 259,388 = 259,388 : x
  2. Step 2: Convert to fraction form
    122,404/259,388 = 259,388/x
  3. Step 3: Cross multiply
    122,404x = 259,388 × 259,388
  4. Step 4: Simplify right side
    122,404x = 67,282,134,544
  5. Step 5: Solve for x
    x = 67,282,134,544/122,404
  6. Step 6: Final answer
    x = 549,672.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.