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Finding the Third Proportional to 122,430 and 259,552

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Solution

The third proportional to 122,430 and 259,552 is: 550,251.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,430 : 259,552 = 259,552 : x
  2. Step 2: Convert to fraction form
    122,430/259,552 = 259,552/x
  3. Step 3: Cross multiply
    122,430x = 259,552 × 259,552
  4. Step 4: Simplify right side
    122,430x = 67,367,240,704
  5. Step 5: Solve for x
    x = 67,367,240,704/122,430
  6. Step 6: Final answer
    x = 550,251.09

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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.