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Finding the Third Proportional to 119,626 and 257,684

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Solution

The third proportional to 119,626 and 257,684 is: 555,072.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,626 : 257,684 = 257,684 : x
  2. Step 2: Convert to fraction form
    119,626/257,684 = 257,684/x
  3. Step 3: Cross multiply
    119,626x = 257,684 × 257,684
  4. Step 4: Simplify right side
    119,626x = 66,401,043,856
  5. Step 5: Solve for x
    x = 66,401,043,856/119,626
  6. Step 6: Final answer
    x = 555,072.01

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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.