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Finding the Third Proportional to 119,900 and 257,296

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Solution

The third proportional to 119,900 and 257,296 is: 552,137.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,900 : 257,296 = 257,296 : x
  2. Step 2: Convert to fraction form
    119,900/257,296 = 257,296/x
  3. Step 3: Cross multiply
    119,900x = 257,296 × 257,296
  4. Step 4: Simplify right side
    119,900x = 66,201,231,616
  5. Step 5: Solve for x
    x = 66,201,231,616/119,900
  6. Step 6: Final answer
    x = 552,137.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.