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Finding the Third Proportional to 122,268 and 257,808

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Solution

The third proportional to 122,268 and 257,808 is: 543,600.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,268 : 257,808 = 257,808 : x
  2. Step 2: Convert to fraction form
    122,268/257,808 = 257,808/x
  3. Step 3: Cross multiply
    122,268x = 257,808 × 257,808
  4. Step 4: Simplify right side
    122,268x = 66,464,964,864
  5. Step 5: Solve for x
    x = 66,464,964,864/122,268
  6. Step 6: Final answer
    x = 543,600.65

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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.