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Finding the Third Proportional to 122,274 and 257,820

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Solution

The third proportional to 122,274 and 257,820 is: 543,624.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,274 : 257,820 = 257,820 : x
  2. Step 2: Convert to fraction form
    122,274/257,820 = 257,820/x
  3. Step 3: Cross multiply
    122,274x = 257,820 × 257,820
  4. Step 4: Simplify right side
    122,274x = 66,471,152,400
  5. Step 5: Solve for x
    x = 66,471,152,400/122,274
  6. Step 6: Final answer
    x = 543,624.58

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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.