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Finding the Third Proportional to 125,208 and 258,704

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Solution

The third proportional to 125,208 and 258,704 is: 534,532.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,208 : 258,704 = 258,704 : x
  2. Step 2: Convert to fraction form
    125,208/258,704 = 258,704/x
  3. Step 3: Cross multiply
    125,208x = 258,704 × 258,704
  4. Step 4: Simplify right side
    125,208x = 66,927,759,616
  5. Step 5: Solve for x
    x = 66,927,759,616/125,208
  6. Step 6: Final answer
    x = 534,532.61

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.