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Finding the Third Proportional to 122,158 and 257,438

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Solution

The third proportional to 122,158 and 257,438 is: 542,529.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,158 : 257,438 = 257,438 : x
  2. Step 2: Convert to fraction form
    122,158/257,438 = 257,438/x
  3. Step 3: Cross multiply
    122,158x = 257,438 × 257,438
  4. Step 4: Simplify right side
    122,158x = 66,274,323,844
  5. Step 5: Solve for x
    x = 66,274,323,844/122,158
  6. Step 6: Final answer
    x = 542,529.54

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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.