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Finding the Third Proportional to 122,126 and 257,372

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Solution

The third proportional to 122,126 and 257,372 is: 542,393.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,126 : 257,372 = 257,372 : x
  2. Step 2: Convert to fraction form
    122,126/257,372 = 257,372/x
  3. Step 3: Cross multiply
    122,126x = 257,372 × 257,372
  4. Step 4: Simplify right side
    122,126x = 66,240,346,384
  5. Step 5: Solve for x
    x = 66,240,346,384/122,126
  6. Step 6: Final answer
    x = 542,393.48

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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.