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Finding the Third Proportional to 122,121 and 257,361

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Solution

The third proportional to 122,121 and 257,361 is: 542,369.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,121 : 257,361 = 257,361 : x
  2. Step 2: Convert to fraction form
    122,121/257,361 = 257,361/x
  3. Step 3: Cross multiply
    122,121x = 257,361 × 257,361
  4. Step 4: Simplify right side
    122,121x = 66,234,684,321
  5. Step 5: Solve for x
    x = 66,234,684,321/122,121
  6. Step 6: Final answer
    x = 542,369.32

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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.