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Finding the Third Proportional to 122,912 and 258,182

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Solution

The third proportional to 122,912 and 258,182 is: 542,322.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,912 : 258,182 = 258,182 : x
  2. Step 2: Convert to fraction form
    122,912/258,182 = 258,182/x
  3. Step 3: Cross multiply
    122,912x = 258,182 × 258,182
  4. Step 4: Simplify right side
    122,912x = 66,657,945,124
  5. Step 5: Solve for x
    x = 66,657,945,124/122,912
  6. Step 6: Final answer
    x = 542,322.52

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.