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Finding the Third Proportional to 122,852 and 258,088

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Solution

The third proportional to 122,852 and 258,088 is: 542,192.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,852 : 258,088 = 258,088 : x
  2. Step 2: Convert to fraction form
    122,852/258,088 = 258,088/x
  3. Step 3: Cross multiply
    122,852x = 258,088 × 258,088
  4. Step 4: Simplify right side
    122,852x = 66,609,415,744
  5. Step 5: Solve for x
    x = 66,609,415,744/122,852
  6. Step 6: Final answer
    x = 542,192.36

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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.