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Finding the Third Proportional to 122,015 and 285,057

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Solution

The third proportional to 122,015 and 285,057 is: 665,963.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,015 : 285,057 = 285,057 : x
  2. Step 2: Convert to fraction form
    122,015/285,057 = 285,057/x
  3. Step 3: Cross multiply
    122,015x = 285,057 × 285,057
  4. Step 4: Simplify right side
    122,015x = 81,257,493,249
  5. Step 5: Solve for x
    x = 81,257,493,249/122,015
  6. Step 6: Final answer
    x = 665,963.15

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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.