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Finding the Third Proportional to 122,042 and 285,125

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Solution

The third proportional to 122,042 and 285,125 is: 666,133.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,042 : 285,125 = 285,125 : x
  2. Step 2: Convert to fraction form
    122,042/285,125 = 285,125/x
  3. Step 3: Cross multiply
    122,042x = 285,125 × 285,125
  4. Step 4: Simplify right side
    122,042x = 81,296,265,625
  5. Step 5: Solve for x
    x = 81,296,265,625/122,042
  6. Step 6: Final answer
    x = 666,133.51

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.