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Finding the Third Proportional to 126,118 and 258,068

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Solution

The third proportional to 126,118 and 258,068 is: 528,069.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,118 : 258,068 = 258,068 : x
  2. Step 2: Convert to fraction form
    126,118/258,068 = 258,068/x
  3. Step 3: Cross multiply
    126,118x = 258,068 × 258,068
  4. Step 4: Simplify right side
    126,118x = 66,599,092,624
  5. Step 5: Solve for x
    x = 66,599,092,624/126,118
  6. Step 6: Final answer
    x = 528,069.69

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.