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Finding the Third Proportional to 122,035.50 and 257,193

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Solution

The third proportional to 122,035.50 and 257,193 is: 542,040.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,035.50 : 257,193 = 257,193 : x
  2. Step 2: Convert to fraction form
    122,035.50/257,193 = 257,193/x
  3. Step 3: Cross multiply
    122,035.50x = 257,193 × 257,193
  4. Step 4: Simplify right side
    122,035.50x = 66,148,239,249
  5. Step 5: Solve for x
    x = 66,148,239,249/122,035.50
  6. Step 6: Final answer
    x = 542,040.96

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.