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Finding the Third Proportional to 122,406 and 259,508

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Solution

The third proportional to 122,406 and 259,508 is: 550,172.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,406 : 259,508 = 259,508 : x
  2. Step 2: Convert to fraction form
    122,406/259,508 = 259,508/x
  3. Step 3: Cross multiply
    122,406x = 259,508 × 259,508
  4. Step 4: Simplify right side
    122,406x = 67,344,402,064
  5. Step 5: Solve for x
    x = 67,344,402,064/122,406
  6. Step 6: Final answer
    x = 550,172.39

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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.